31612946904 has 288 divisors, whose sum is σ = 113884112160. Its totient is φ = 7727892480.

The previous prime is 31612946867. The next prime is 31612946933. The reversal of 31612946904 is 40964921613.

31612946904 is a `hidden beast` number, since 3 + 161 + 29 + 469 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31612946904.

It is a congruent number.

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, 1021482 + ... + 1051974.

It is an arithmetic number, because the mean of its divisors is an integer number (395430945).

Almost surely, 2^31612946904 is an apocalyptic number.

31612946904 is a gapful number since it is divisible by the number (34) 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 31612946904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56942056080).

31612946904 is an abundant number, since it is smaller than the sum of its proper divisors (82271165256).

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

31612946904 is a wasteful number, since it uses less digits than its factorization.

31612946904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30551 (or 30533 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31612946904 in words is "thirty-one billion, six hundred twelve million, nine hundred forty-six thousand, nine hundred four".