31673152608 has 384 divisors, whose sum is σ = 96009338880. Its totient is φ = 9080709120.

The previous prime is 31673152601. The next prime is 31673152669. The reversal of 31673152608 is 80625137613.

It is a super-2 number, since 2×31673152608² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31673152608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31673152601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150109623 + ... + 150109833.

It is an arithmetic number, because the mean of its divisors is an integer number (250024320).

Almost surely, 2^31673152608 is an apocalyptic number.

31673152608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31673152608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48004669440).

31673152608 is an abundant number, since it is smaller than the sum of its proper divisors (64336186272).

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

31673152608 is a wasteful number, since it uses less digits than its factorization.

31673152608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 31673152608 in words is "thirty-one billion, six hundred seventy-three million, one hundred fifty-two thousand, six hundred eight".