225996304521024 has 336 divisors, whose sum is σ = 664889610528000. Its totient is φ = 73373972705280.

The previous prime is 225996304521011. The next prime is 225996304521041. The reversal of 225996304521024 is 420125403699522.

225996304521024 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 96 + 3 + 0 + 4 + 521 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135725859 + ... + 1135924829.

Almost surely, 2^{225996304521024} is an apocalyptic number.

225996304521024 is a gapful number since it is divisible by the number (24) 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 225996304521024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332444805264000).

225996304521024 is an abundant number, since it is smaller than the sum of its proper divisors (438893306006976).

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

225996304521024 is a wasteful number, since it uses less digits than its factorization.

225996304521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199406 (or 199393 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 225996304521024 in words is "two hundred twenty-five trillion, nine hundred ninety-six billion, three hundred four million, five hundred twenty-one thousand, twenty-four".