31148616816 has 120 divisors (see below), whose sum is σ = 89112778560. Its totient is φ = 10152242688.

The previous prime is 31148616727. The next prime is 31148616827. The reversal of 31148616816 is 61861684113.

31148616816 is a `hidden beast` number, since 3 + 1 + 1 + 486 + 168 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11565166 + ... + 11567858.

It is an arithmetic number, because the mean of its divisors is an integer number (742606488).

Almost surely, 2^31148616816 is an apocalyptic number.

31148616816 is a gapful number since it is divisible by the number (36) 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 31148616816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44556389280).

31148616816 is an abundant number, since it is smaller than the sum of its proper divisors (57964161744).

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

31148616816 is a wasteful number, since it uses less digits than its factorization.

31148616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4454 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 31148616816 in words is "thirty-one billion, one hundred forty-eight million, six hundred sixteen thousand, eight hundred sixteen".