225563728104 has 480 divisors, whose sum is σ = 764688133440. Its totient is φ = 61542374400.

The previous prime is 225563728073. The next prime is 225563728177. The reversal of 225563728104 is 401827365522.

225563728104 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 637 + 2 + 8 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225563728104.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49387629 + ... + 49392195.

It is an arithmetic number, because the mean of its divisors is an integer number (1593100278).

Almost surely, 2^225563728104 is an apocalyptic number.

225563728104 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 225563728104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382344066720).

225563728104 is an abundant number, since it is smaller than the sum of its proper divisors (539124405336).

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

225563728104 is a wasteful number, since it uses less digits than its factorization.

225563728104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 225563728104 in words is "two hundred twenty-five billion, five hundred sixty-three million, seven hundred twenty-eight thousand, one hundred four".