16157112806016 has 256 divisors, whose sum is σ = 58690368172800. Its totient is φ = 4261216481280.

The previous prime is 16157112805997. The next prime is 16157112806033. The reversal of 16157112806016 is 61060821175161.

16157112806016 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 7 + 11 + 28 + 0 + 601 + 6 = 666.

16157112806016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16157112806016² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 25372815 + ... + 26001806.

It is an arithmetic number, because the mean of its divisors is an integer number (229259250675).

Almost surely, 2^{16157112806016} is an apocalyptic number.

16157112806016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16157112806016 is an abundant number, since it is smaller than the sum of its proper divisors (42533255366784).

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

16157112806016 is a wasteful number, since it uses less digits than its factorization.

16157112806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51374664 (or 51374646 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 16157112806016 in words is "sixteen trillion, one hundred fifty-seven billion, one hundred twelve million, eight hundred six thousand, sixteen".