31465852704 has 768 divisors, whose sum is σ = 116319006720. Its totient is φ = 8128512000.

The previous prime is 31465852703. The next prime is 31465852751. The reversal of 31465852704 is 40725856413.

31465852704 is a `hidden beast` number, since 3 + 1 + 46 + 585 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×31465852704² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31465852704.

It is not an unprimeable number, because it can be changed into a prime (31465852703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149127159 + ... + 149127369.

It is an arithmetic number, because the mean of its divisors is an integer number (151457040).

Almost surely, 2^31465852704 is an apocalyptic number.

31465852704 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 31465852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58159503360).

31465852704 is an abundant number, since it is smaller than the sum of its proper divisors (84853154016).

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

31465852704 is a wasteful number, since it uses less digits than its factorization.

31465852704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 31465852704 in words is "thirty-one billion, four hundred sixty-five million, eight hundred fifty-two thousand, seven hundred four".