What do you mean, "not survivable"?
Paper money systems die all the time, it's rare for nations to die with them. I presume all the debt is going to be renounced (what else would you do with $18T in debt), and that we will start over.
The loss of all those Reichsmarks in 1945 didn't stop Germany from being on top again, I assume the destruction of all dollar-denominated investments will work out the same.