9012966949872 has 400 divisors, whose sum is σ = 26992427061600. Its totient is φ = 2901553643520.

The previous prime is 9012966949829. The next prime is 9012966949919. The reversal of 9012966949872 is 2789496692109.

9012966949872 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 9 + 6 + 69 + 498 + 72 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9012966949872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2873115088 + ... + 2873118224.

It is an arithmetic number, because the mean of its divisors is an integer number (67481067654).

Almost surely, 2^{9012966949872} 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 9012966949872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496213530800).

9012966949872 is an abundant number, since it is smaller than the sum of its proper divisors (17979460111728).

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

9012966949872 is a wasteful number, since it uses less digits than its factorization.

9012966949872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 9012966949872 in words is "nine trillion, twelve billion, nine hundred sixty-six million, nine hundred forty-nine thousand, eight hundred seventy-two".