31813050672 has 480 divisors, whose sum is σ = 105831281920. Its totient is φ = 9170703360.

The previous prime is 31813050631. The next prime is 31813050683. The reversal of 31813050672 is 27605031813.

31813050672 is a `hidden beast` number, since 3 + 1 + 81 + 3 + 0 + 506 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150772647 + ... + 150772857.

Almost surely, 2^31813050672 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 31813050672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52915640960).

31813050672 is an abundant number, since it is smaller than the sum of its proper divisors (74018231248).

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

31813050672 is a wasteful number, since it uses less digits than its factorization.

31813050672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 31813050672 in words is "thirty-one billion, eight hundred thirteen million, fifty thousand, six hundred seventy-two".