972816058656 has 72 divisors (see below), whose sum is σ = 2979249191100. Its totient is φ = 299328016896.

The previous prime is 972816058649. The next prime is 972816058661. The reversal of 972816058656 is 656850618279.

It can be written as a sum of positive squares in 2 ways, for example, as 830321888400 + 142494170256 = 911220^2 + 377484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 972816058593 and 972816058602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129912931 + ... + 129920418.

Almost surely, 2^972816058656 is an apocalyptic number.

972816058656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

972816058656 is an abundant number, since it is smaller than the sum of its proper divisors (2006433132444).

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

972816058656 is a wasteful number, since it uses less digits than its factorization.

972816058656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259833378 (or 259833367 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 972816058656 in words is "nine hundred seventy-two billion, eight hundred sixteen million, fifty-eight thousand, six hundred fifty-six".