31164132807 has 32 divisors (see below), whose sum is σ = 46413734400. Its totient is φ = 20666297664.

The previous prime is 31164132799. The next prime is 31164132821. The reversal of 31164132807 is 70823146113.

It is a happy number.

31164132807 is a `hidden beast` number, since 3 + 1 + 1 + 641 + 3 + 2 + 8 + 0 + 7 = 666.

It is not a de Polignac number, because 31164132807 - 2³ = 31164132799 is a prime.

It is a super-2 number, since 2×31164132807² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31164132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4109203 + ... + 4116779.

It is an arithmetic number, because the mean of its divisors is an integer number (1450429200).

Almost surely, 2^31164132807 is an apocalyptic number.

31164132807 is a deficient number, since it is larger than the sum of its proper divisors (15249601593).

31164132807 is a wasteful number, since it uses less digits than its factorization.

31164132807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 31164132807 in words is "thirty-one billion, one hundred sixty-four million, one hundred thirty-two thousand, eight hundred seven".