3180631474944 has 648 divisors, whose sum is σ = 12067079012352. Its totient is φ = 782641336320.

The previous prime is 3180631474877. The next prime is 3180631474981. The reversal of 3180631474944 is 4494741360813.

3180631474944 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 6 + 3 + 147 + 494 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64019457 + ... + 64069119.

Almost surely, 2^{3180631474944} 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 3180631474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033539506176).

3180631474944 is an abundant number, since it is smaller than the sum of its proper divisors (8886447537408).

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

3180631474944 is a wasteful number, since it uses less digits than its factorization.

3180631474944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49741 (or 49705 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3180631474944 in words is "three trillion, one hundred eighty billion, six hundred thirty-one million, four hundred seventy-four thousand, nine hundred forty-four".