90816644164 has 27 divisors (see below), whose sum is σ = 162041365213. Its totient is φ = 44535890672.

The previous prime is 90816644161. The next prime is 90816644173. The reversal of 90816644164 is 46144661809.

The square root of 90816644164 is 301358.

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., 65469456900 + 25347187264 = 255870^2 + 159208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90816644161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31942527 + ... + 31945369.

Almost surely, 2^90816644164 is an apocalyptic number.

90816644164 is the 301358-th square number.

It is an amenable number.

90816644164 is a deficient number, since it is larger than the sum of its proper divisors (71224721049).

90816644164 is an frugal number, since it uses more digits than its factorization.

90816644164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 90816644164 by its sum of digits (49), we get a square (4450015564036 = 2109506²).

The spelling of 90816644164 in words is "ninety billion, eight hundred sixteen million, six hundred forty-four thousand, one hundred sixty-four".