168904560400 has 45 divisors (see below), whose sum is σ = 405812954911. Its totient is φ = 67558536320.

The previous prime is 168904560379. The next prime is 168904560401. The reversal of 168904560400 is 4065409861.

The square root of 168904560400 is 410980.

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

168904560400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39373671184 + 129530889216 = 198428^2 + 359904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168904560401) 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, 8209326 + ... + 8229874.

Almost surely, 2^168904560400 is an apocalyptic number.

168904560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168904560400 is the 410980-th square number.

It is an amenable number.

168904560400 is an abundant number, since it is smaller than the sum of its proper divisors (236908394511).

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

168904560400 is an frugal number, since it uses more digits than its factorization.

168904560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41116 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 168904560400 in words is "one hundred sixty-eight billion, nine hundred four million, five hundred sixty thousand, four hundred".