Currently (nowadays) the right answer should be "One." ("Only one"; "Only one of me."), because we can't multiply (copy; copy-paste) people. Even a cloning can't be "another me", because it (a cloning) is just an organism whose genetic information is identical to that of a parent organism from which it was created. Parent organism and cloning are two different organisms with one and the same (indentical) genetic information -- i. e. something like twins (identical twins), but in different age (an example with Dolly the sheep:
/This is diagram of how Dolly the sheep was made. Public Domain./)
Even the identical twins (one and the same DNA, one and the same age) aren't one and the same "me", because their self-awareness (which is the awareness that one exists as an individual being) is different.
Hence: How many of me? - Only one of me.