31492496407968 has 144 divisors (see below), whose sum is σ = 94827365418240. Its totient is φ = 9879735011328.

The previous prime is 31492496407927. The next prime is 31492496407987. The reversal of 31492496407968 is 86970469429413.

It is a happy number.

31492496407968 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 2 + 496 + 4 + 0 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 31492496407896 and 31492496407905.

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, 269941393 + ... + 270058031.

It is an arithmetic number, because the mean of its divisors is an integer number (658523370960).

Almost surely, 2^{31492496407968} is an apocalyptic number.

It is an amenable number.

31492496407968 is an abundant number, since it is smaller than the sum of its proper divisors (63334869010272).

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

31492496407968 is a wasteful number, since it uses less digits than its factorization.

31492496407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171819 (or 171808 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 31492496407968 in words is "thirty-one trillion, four hundred ninety-two billion, four hundred ninety-six million, four hundred seven thousand, nine hundred sixty-eight".