Doesn't it kind of repel you? Thinking about death is like hitting your head on something rubbery.
Try this: in order to experience death, you'd have to experience it as an event, but an event is only an event because it has causes and effects. But death can have no causes, for consciousness, because nothing can appear to oneself after death. If you are dead, you are not experiencing anything, because death is the end of consciousness. So death appears as an effect, but one that does not have a reflection in causing anything, and in that sense, it is similar to a black hole, but even a black hole is not, you know, just an ABSOLUTE ending. It's a phenomena with causes and effects. Even a black hole will eventually dissipate.
So you can't experience death as an event because you can't, in a sense, BE on both sides of it. There is simply nothing on the other side. But if that is true, then "death" is not something that can "happen" to you. It cannot be an event for you, so it kind of follows that YOU, as consciousness have no possibility of death happening to you.
So you hear people ask, "what happens when I die?" and you watch carefully, and each and every time, someone will be thinking of themselves as conscious after death. You have to tell them to just back it up a step because, you know, what they've done is they've taken death and made it into something else, namely, something they fear, such as loss of agency. People can fear loss of agency, but no one can actually fear death because death can't happen to anyone. You as a manifested finite existence will perish, yes, because all things in this world come into being and go under giving rise to new forms, sure, but that doesn't mean death can happen to you. It's not there for anyone to contemplate as a kind of barrier or limitation or event because all these things require something to be on the other side of them, but in this case, there is NOTHING on the other side.
As for time still existing when everything ceased to exist, most people will tell you that there is no time without change (and no change if nothing exists). That kind of makes sense to me. Why do you think there is time without change? I mean, it kind of stems from the old "identity of indiscernibles", which is also a common intuition. I mean, if there is no way of distinguishing one time from another time ... aren't they one and the same time?