31348864512 has 320 divisors, whose sum is σ = 109717977600. Its totient is φ = 8647188480.

The previous prime is 31348864447. The next prime is 31348864597. The reversal of 31348864512 is 21546884313.

31348864512 is a `hidden beast` number, since 3 + 13 + 48 + 86 + 4 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800687 + ... + 2811857.

It is an arithmetic number, because the mean of its divisors is an integer number (342868680).

Almost surely, 2^31348864512 is an apocalyptic number.

31348864512 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 31348864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54858988800).

31348864512 is an abundant number, since it is smaller than the sum of its proper divisors (78369113088).

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

31348864512 is a wasteful number, since it uses less digits than its factorization.

31348864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 11212 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 31348864512 in words is "thirty-one billion, three hundred forty-eight million, eight hundred sixty-four thousand, five hundred twelve".