225556520112 has 960 divisors, whose sum is σ = 838260633600. Its totient is φ = 56554122240.

The previous prime is 225556520093. The next prime is 225556520141. The reversal of 225556520112 is 211025655522.

225556520112 is a `hidden beast` number, since 22 + 55 + 56 + 520 + 1 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3089815308 + ... + 3089815380.

It is an arithmetic number, because the mean of its divisors is an integer number (873188160).

Almost surely, 2^225556520112 is an apocalyptic number.

225556520112 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 225556520112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419130316800).

225556520112 is an abundant number, since it is smaller than the sum of its proper divisors (612704113488).

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

225556520112 is a wasteful number, since it uses less digits than its factorization.

225556520112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 225556520112 in words is "two hundred twenty-five billion, five hundred fifty-six million, five hundred twenty thousand, one hundred twelve".