202168813457664 has 81 divisors (see below), whose sum is σ = 582904497229509. Its totient is φ = 67389376988160.

The previous prime is 202168813457627. The next prime is 202168813457717. The reversal of 202168813457664 is 466754318861202.

The square root of 202168813457664 is 14218608.

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

202168813457664 is a `hidden beast` number, since 2 + 0 + 2 + 168 + 8 + 1 + 345 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71507453739264 + 130661359718400 = 8456208^2 + 11430720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 682345074 + ... + 682641294.

Almost surely, 2^{202168813457664} is an apocalyptic number.

202168813457664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

202168813457664 is the 14218608-th square number.

It is an amenable number.

202168813457664 is an abundant number, since it is smaller than the sum of its proper divisors (380735683771845).

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

202168813457664 is an frugal number, since it uses more digits than its factorization.

202168813457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592464 (or 296226 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 202168813457664 in words is "two hundred two trillion, one hundred sixty-eight billion, eight hundred thirteen million, four hundred fifty-seven thousand, six hundred sixty-four".