9004096512 has 176 divisors, whose sum is σ = 28235826720. Its totient is φ = 2824667136.

The previous prime is 9004096471. The next prime is 9004096579. The reversal of 9004096512 is 2156904009.

It is a super-2 number, since 2×9004096512² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460438 + ... + 479594.

Almost surely, 2^9004096512 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 9004096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117913360).

9004096512 is an abundant number, since it is smaller than the sum of its proper divisors (19231730208).

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

9004096512 is a wasteful number, since it uses less digits than its factorization.

9004096512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19203 (or 19179 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9004096512 is about 94889.9178627529. The cubic root of 9004096512 is about 2080.3993710455.

The spelling of 9004096512 in words is "nine billion, four million, ninety-six thousand, five hundred twelve".