31668376264272 has 120 divisors (see below), whose sum is σ = 101773171025760. Its totient is φ = 9091399875840.

The previous prime is 31668376264237. The next prime is 31668376264303. The reversal of 31668376264272 is 27246267386613.

31668376264272 is a `hidden beast` number, since 3 + 1 + 66 + 83 + 76 + 2 + 6 + 427 + 2 = 666.

It is a super-3 number, since 3×31668376264272³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 526092583 + ... + 526152774.

It is an arithmetic number, because the mean of its divisors is an integer number (848109758548).

Almost surely, 2^{31668376264272} is an apocalyptic number.

It is an amenable number.

31668376264272 is an abundant number, since it is smaller than the sum of its proper divisors (70104794761488).

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

31668376264272 is a wasteful number, since it uses less digits than its factorization.

31668376264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052245401 (or 1052245392 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 31668376264272 in words is "thirty-one trillion, six hundred sixty-eight billion, three hundred seventy-six million, two hundred sixty-four thousand, two hundred seventy-two".