31164185632104 has 48 divisors (see below), whose sum is σ = 96460574577120. Its totient is φ = 8904053037600.

The previous prime is 31164185632079. The next prime is 31164185632109. The reversal of 31164185632104 is 40123658146113.

It is a happy number.

31164185632104 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 4 + 1 + 8 + 5 + 632 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×31164185632104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31164185632104.

It is not an unprimeable number, because it can be changed into a prime (31164185632109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30916850322 + ... + 30916851329.

It is an arithmetic number, because the mean of its divisors is an integer number (2009595303690).

Almost surely, 2^{31164185632104} is an apocalyptic number.

It is an amenable number.

31164185632104 is an abundant number, since it is smaller than the sum of its proper divisors (65296388945016).

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

31164185632104 is a wasteful number, since it uses less digits than its factorization.

31164185632104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61833701670 (or 61833701663 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 31164185632104 in words is "thirty-one trillion, one hundred sixty-four billion, one hundred eighty-five million, six hundred thirty-two thousand, one hundred four".