9002912256 has 240 divisors, whose sum is σ = 28211647464. Its totient is φ = 2747400192.

The previous prime is 9002912203. The next prime is 9002912273. The reversal of 9002912256 is 6522192009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5657446656 + 3345465600 = 75216^2 + 57840^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 9002912256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206300 + ... + 8207396.

Almost surely, 2^9002912256 is an apocalyptic number.

9002912256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105823732).

9002912256 is an abundant number, since it is smaller than the sum of its proper divisors (19208735208).

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

9002912256 is a wasteful number, since it uses less digits than its factorization.

9002912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1252 counting only the distinct ones).

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

The square root of 9002912256 is about 94883.6775004005. The cubic root of 9002912256 is about 2080.3081594710.

The spelling of 9002912256 in words is "nine billion, two million, nine hundred twelve thousand, two hundred fifty-six".