31460913461952 has 672 divisors, whose sum is σ = 101613078927360. Its totient is φ = 9240664965120.

The previous prime is 31460913461941. The next prime is 31460913462037. The reversal of 31460913461952 is 25916431906413.

31460913461952 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 0 + 9 + 13 + 4 + 619 + 5 + 2 = 666.

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, 24256678968 + ... + 24256680264.

It is an arithmetic number, because the mean of its divisors is an integer number (151209938880).

Almost surely, 2^{31460913461952} is an apocalyptic number.

31460913461952 is a gapful number since it is divisible by the number (32) 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 31460913461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50806539463680).

31460913461952 is an abundant number, since it is smaller than the sum of its proper divisors (70152165465408).

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

31460913461952 is a wasteful number, since it uses less digits than its factorization.

31460913461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 31460913461952 in words is "thirty-one trillion, four hundred sixty billion, nine hundred thirteen million, four hundred sixty-one thousand, nine hundred fifty-two".