9152034224256 has 1024 divisors, whose sum is σ = 35974836633600. Its totient is φ = 2217396142080.

The previous prime is 9152034224191. The next prime is 9152034224261. The reversal of 9152034224256 is 6524224302519.

9152034224256 is a `hidden beast` number, since 9 + 1 + 52 + 0 + 342 + 2 + 4 + 256 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511192201 + ... + 511210103.

It is an arithmetic number, because the mean of its divisors is an integer number (35131676400).

Almost surely, 2^{9152034224256} is an apocalyptic number.

9152034224256 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 9152034224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987418316800).

9152034224256 is an abundant number, since it is smaller than the sum of its proper divisors (26822802409344).

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

9152034224256 is a wasteful number, since it uses less digits than its factorization.

9152034224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18074 (or 18056 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 9152034224256 in words is "nine trillion, one hundred fifty-two billion, thirty-four million, two hundred twenty-four thousand, two hundred fifty-six".