31817622768 has 80 divisors (see below), whose sum is σ = 85687468032. Its totient is φ = 10162080000.

The previous prime is 31817622761. The next prime is 31817622791. The reversal of 31817622768 is 86722671813.

It is a super-2 number, since 2×31817622768² (a number of 22 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 31817622768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31817622761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44433 + ... + 256143.

Almost surely, 2^31817622768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31817622768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42843734016).

31817622768 is an abundant number, since it is smaller than the sum of its proper divisors (53869845264).

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

31817622768 is a wasteful number, since it uses less digits than its factorization.

31817622768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211854 (or 211848 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 31817622768 in words is "thirty-one billion, eight hundred seventeen million, six hundred twenty-two thousand, seven hundred sixty-eight".