Hopefully some day this number will be so large that it will be impossible to track accurately.
1) Literally infinite permutations of entertainment out there. 2) Birth rates have been falling steadily for decades. I don't think it'll be a problem in space unless you think space Catholicism is a thing.
"Any civilization advanced enough to leave its own plant will be advanced enough to track accurately those leaving"
-- Civilized Tracking Corollary (2017)