901365664320 has 168 divisors, whose sum is σ = 3382169918400. Its totient is φ = 218512880640.

The previous prime is 901365664307. The next prime is 901365664349. The reversal of 901365664320 is 23466563109.

901365664320 is a `hidden beast` number, since 90 + 13 + 65 + 66 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14194420 + ... + 14257779.

It is an arithmetic number, because the mean of its divisors is an integer number (20131963800).

Almost surely, 2^901365664320 is an apocalyptic number.

901365664320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

901365664320 is an abundant number, since it is smaller than the sum of its proper divisors (2480804254080).

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

901365664320 is a wasteful number, since it uses less digits than its factorization.

901365664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452233 (or 28452220 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 901365664320 in words is "nine hundred one billion, three hundred sixty-five million, six hundred sixty-four thousand, three hundred twenty".