225812930112 has 1120 divisors, whose sum is σ = 894769514496. Its totient is φ = 54510796800.

The previous prime is 225812930107. The next prime is 225812930153. The reversal of 225812930112 is 211039218522.

225812930112 is a `hidden beast` number, since 2 + 258 + 1 + 293 + 0 + 112 = 666.

225812930112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 726086437 + ... + 726086747.

Almost surely, 2^225812930112 is an apocalyptic number.

225812930112 is a gapful number since it is divisible by the number (22) 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 225812930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447384757248).

225812930112 is an abundant number, since it is smaller than the sum of its proper divisors (668956584384).

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

225812930112 is a wasteful number, since it uses less digits than its factorization.

225812930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 225812930112 in words is "two hundred twenty-five billion, eight hundred twelve million, nine hundred thirty thousand, one hundred twelve".