38338108314912 has 72 divisors (see below), whose sum is σ = 124598852030016. Its totient is φ = 10953745232256.

The previous prime is 38338108314893. The next prime is 38338108314929. The reversal of 38338108314912 is 21941380183383.

38338108314912 is a `hidden beast` number, since 3 + 83 + 38 + 10 + 8 + 31 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9508457388 + ... + 9508461419.

It is an arithmetic number, because the mean of its divisors is an integer number (1730539611528).

Almost surely, 2^{38338108314912} is an apocalyptic number.

38338108314912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38338108314912 is an abundant number, since it is smaller than the sum of its proper divisors (86260743715104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38338108314912 is a wasteful number, since it uses less digits than its factorization.

38338108314912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016918830 (or 19016918819 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38338108314912 in words is "thirty-eight trillion, three hundred thirty-eight billion, one hundred eight million, three hundred fourteen thousand, nine hundred twelve".