16890412031136 has 192 divisors, whose sum is σ = 56827556674560. Its totient is φ = 4780730592000.

The previous prime is 16890412031069. The next prime is 16890412031153. The reversal of 16890412031136 is 63113021409861.

16890412031136 is a `hidden beast` number, since 16 + 8 + 90 + 412 + 0 + 3 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16890412031091 and 16890412031100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12402990 + ... + 13697261.

It is an arithmetic number, because the mean of its divisors is an integer number (295976857680).

Almost surely, 2^{16890412031136} is an apocalyptic number.

16890412031136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16890412031136 is an abundant number, since it is smaller than the sum of its proper divisors (39937144643424).

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

16890412031136 is a wasteful number, since it uses less digits than its factorization.

16890412031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26100384 (or 26100370 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16890412031136 in words is "sixteen trillion, eight hundred ninety billion, four hundred twelve million, thirty-one thousand, one hundred thirty-six".