2956318348032 has 864 divisors, whose sum is σ = 11011674885120. Its totient is φ = 742435061760.

The previous prime is 2956318347943. The next prime is 2956318348057. The reversal of 2956318348032 is 2308438136592.

2956318348032 is a `hidden beast` number, since 2 + 9 + 56 + 3 + 1 + 83 + 480 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2956318348032.

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, 369859428 + ... + 369867420.

It is an arithmetic number, because the mean of its divisors is an integer number (12744994080).

Almost surely, 2^{2956318348032} 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 2956318348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505837442560).

2956318348032 is an abundant number, since it is smaller than the sum of its proper divisors (8055356537088).

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

2956318348032 is a wasteful number, since it uses less digits than its factorization.

2956318348032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2956318348032 in words is "two trillion, nine hundred fifty-six billion, three hundred eighteen million, three hundred forty-eight thousand, thirty-two".