3131398656000 has 1664 divisors, whose sum is σ = 12254574758400. Its totient is φ = 787768934400.

The previous prime is 3131398655953. The next prime is 3131398656047. The reversal of 3131398656000 is 6568931313.

3131398656000 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 3 + 9 + 86 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3131398655953) and next prime (3131398656047).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 29265407947 + ... + 29265408053.

It is an arithmetic number, because the mean of its divisors is an integer number (7364528100).

Almost surely, 2^{3131398656000} is an apocalyptic number.

3131398656000 is a gapful number since it is divisible by the number (30) 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 3131398656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127287379200).

3131398656000 is an abundant number, since it is smaller than the sum of its proper divisors (9123176102400).

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

3131398656000 is a wasteful number, since it uses less digits than its factorization.

3131398656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3131398656000 in words is "three trillion, one hundred thirty-one billion, three hundred ninety-eight million, six hundred fifty-six thousand".