31830519942144 has 1056 divisors, whose sum is σ = 121066169702400. Its totient is φ = 7812496097280.

The previous prime is 31830519942139. The next prime is 31830519942229. The reversal of 31830519942144 is 44124991503813.

31830519942144 is a `hidden beast` number, since 3 + 1 + 8 + 30 + 519 + 94 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 967211962 + ... + 967244870.

Almost surely, 2^{31830519942144} 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 31830519942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60533084851200).

31830519942144 is an abundant number, since it is smaller than the sum of its proper divisors (89235649760256).

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

31830519942144 is a wasteful number, since it uses less digits than its factorization.

31830519942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33029 (or 33008 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 31830519942144 in words is "thirty-one trillion, eight hundred thirty billion, five hundred nineteen million, nine hundred forty-two thousand, one hundred forty-four".