166013872704 has 105 divisors (see below), whose sum is σ = 492204103347. Its totient is φ = 55328178816.

The previous prime is 166013872699. The next prime is 166013872751. The reversal of 166013872704 is 407278310661.

The square root of 166013872704 is 407448.

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

166013872704 is a `hidden beast` number, since 1 + 6 + 601 + 38 + 7 + 2 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166013872704.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29333427 + ... + 29339085.

Almost surely, 2^166013872704 is an apocalyptic number.

166013872704 is the 407448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166013872704

166013872704 is an abundant number, since it is smaller than the sum of its proper divisors (326190230643).

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

166013872704 is an frugal number, since it uses more digits than its factorization.

166013872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 166013872704 in words is "one hundred sixty-six billion, thirteen million, eight hundred seventy-two thousand, seven hundred four".