31617144457160 has 32 divisors (see below), whose sum is σ = 72304781182200. Its totient is φ = 12439532244480.

The previous prime is 31617144457159. The next prime is 31617144457183. The reversal of 31617144457160 is 6175444171613.

It can be written as a sum of positive squares in 4 ways, for example, as 13766637756964 + 17850506700196 = 3710342^2 + 4224986^2 .

It is a super-2 number, since 2×31617144457160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31617144457099 and 31617144457108.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6478920605 + ... + 6478925484.

Almost surely, 2^{31617144457160} is an apocalyptic number.

It is an amenable number.

31617144457160 is an abundant number, since it is smaller than the sum of its proper divisors (40687636725040).

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

31617144457160 is a wasteful number, since it uses less digits than its factorization.

31617144457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957846161 (or 12957846157 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 31617144457160 in words is "thirty-one trillion, six hundred seventeen billion, one hundred forty-four million, four hundred fifty-seven thousand, one hundred sixty".