31640649857568 has 72 divisors (see below), whose sum is σ = 95270927343228. Its totient is φ = 9926478385152.

The previous prime is 31640649857533. The next prime is 31640649857599. The reversal of 31640649857568 is 86575894604613.

31640649857568 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 0 + 6 + 4 + 9 + 8 + 57 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24303204109584 + 7337445747984 = 4929828^2 + 2708772^2 .

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

It is a super-2 number, since 2×31640649857568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 31640649857496 and 31640649857505.

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 11 ways as a sum of consecutive naturals, for example, 3231270621 + ... + 3231280412.

Almost surely, 2^{31640649857568} is an apocalyptic number.

It is an amenable number.

31640649857568 is an abundant number, since it is smaller than the sum of its proper divisors (63630277485660).

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

31640649857568 is a wasteful number, since it uses less digits than its factorization.

31640649857568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462551066 (or 6462551055 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 31640649857568 in words is "thirty-one trillion, six hundred forty billion, six hundred forty-nine million, eight hundred fifty-seven thousand, five hundred sixty-eight".