31772344327713 has 64 divisors (see below), whose sum is σ = 54937931366400. Its totient is φ = 17943436872000.

The previous prime is 31772344327679. The next prime is 31772344327723.

31772344327713 is a `hidden beast` number, since 3 + 1 + 77 + 234 + 4 + 327 + 7 + 13 = 666.

31772344327713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31772344327713 - 2¹⁷ = 31772344196641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31772344327713.

It is not an unprimeable number, because it can be changed into a prime (31772344327723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45806593 + ... + 46495038.

It is an arithmetic number, because the mean of its divisors is an integer number (858405177600).

Almost surely, 2^{31772344327713} is an apocalyptic number.

31772344327713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31772344327713 is a deficient number, since it is larger than the sum of its proper divisors (23165587038687).

31772344327713 is a wasteful number, since it uses less digits than its factorization.

31772344327713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92301731 (or 92301725 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

The spelling of 31772344327713 in words is "thirty-one trillion, seven hundred seventy-two billion, three hundred forty-four million, three hundred twenty-seven thousand, seven hundred thirteen".