31465300828464 has 480 divisors, whose sum is σ = 97789398220800. Its totient is φ = 9404586155520.

The previous prime is 31465300828459. The next prime is 31465300828471. The reversal of 31465300828464 is 46482800356413.

31465300828464 is a `hidden beast` number, since 3 + 1 + 46 + 530 + 0 + 8 + 2 + 8 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31465300828464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10838889637 + ... + 10838892539.

It is an arithmetic number, because the mean of its divisors is an integer number (203727912960).

Almost surely, 2^{31465300828464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31465300828464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48894699110400).

31465300828464 is an abundant number, since it is smaller than the sum of its proper divisors (66324097392336).

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

31465300828464 is a wasteful number, since it uses less digits than its factorization.

31465300828464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 31465300828464 in words is "thirty-one trillion, four hundred sixty-five billion, three hundred million, eight hundred twenty-eight thousand, four hundred sixty-four".