16013186715904 has 81 divisors (see below), whose sum is σ = 37183445799717. Its totient is φ = 6862602227712.

The previous prime is 16013186715871. The next prime is 16013186715907. The reversal of 16013186715904 is 40951768131061.

It is a happy number.

The square root of 16013186715904 is 4001648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151128117504 + 15862058598400 = 388752^2 + 3982720^2 .

It is not an unprimeable number, because it can be changed into a prime (16013186715907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 448166712 + ... + 448202440.

Almost surely, 2^{16013186715904} is an apocalyptic number.

16013186715904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16013186715904 is the 4001648-th square number.

It is an amenable number.

16013186715904 is an abundant number, since it is smaller than the sum of its proper divisors (21170259083813).

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

16013186715904 is an frugal number, since it uses more digits than its factorization.

16013186715904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71488 (or 35738 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 16013186715904 in words is "sixteen trillion, thirteen billion, one hundred eighty-six million, seven hundred fifteen thousand, nine hundred four".