31637139345 has 72 divisors (see below), whose sum is σ = 65346863400. Its totient is φ = 14109903360.

The previous prime is 31637139319. The next prime is 31637139353. The reversal of 31637139345 is 54393173613.

31637139345 is a `hidden beast` number, since 3 + 1 + 637 + 1 + 3 + 9 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3918885201 + 27718254144 = 62601^2 + 166488^2 .

It is not a de Polignac number, because 31637139345 - 2¹⁸ = 31636877201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 31637139345.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84570 + ... + 265379.

It is an arithmetic number, because the mean of its divisors is an integer number (907595325).

Almost surely, 2^31637139345 is an apocalyptic number.

31637139345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31637139345 is an abundant number, since it is smaller than the sum of its proper divisors (33709724055).

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

31637139345 is a wasteful number, since it uses less digits than its factorization.

31637139345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350015 (or 350005 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The spelling of 31637139345 in words is "thirty-one billion, six hundred thirty-seven million, one hundred thirty-nine thousand, three hundred forty-five".