31540648968 has 80 divisors (see below), whose sum is σ = 89153707500. Its totient is φ = 10417071744.

The previous prime is 31540648957. The next prime is 31540648973. The reversal of 31540648968 is 86984604513.

31540648968 is a `hidden beast` number, since 3 + 1 + 540 + 6 + 4 + 8 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30730791204 + 809857764 = 175302^2 + 28458^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 152643 + ... + 293906.

Almost surely, 2^31540648968 is an apocalyptic number.

It is an amenable number.

31540648968 is an abundant number, since it is smaller than the sum of its proper divisors (57613058532).

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

31540648968 is a wasteful number, since it uses less digits than its factorization.

31540648968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446676 (or 446663 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 31540648968 in words is "thirty-one billion, five hundred forty million, six hundred forty-eight thousand, nine hundred sixty-eight".