225564204096 has 567 divisors, whose sum is σ = 829913728917. Its totient is φ = 58360135680.

The previous prime is 225564204067. The next prime is 225564204101. The reversal of 225564204096 is 690402465522.

The square root of 225564204096 is 474936.

It is a perfect power (a square), and thus also a powerful number.

225564204096 is a `hidden beast` number, since 2 + 2 + 556 + 4 + 2 + 0 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222067137600 + 3497066496 = 471240^2 + 59136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 877681600 + ... + 877681856.

Almost surely, 2^225564204096 is an apocalyptic number.

225564204096 is the 474936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225564204096

225564204096 is an abundant number, since it is smaller than the sum of its proper divisors (604349524821).

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

225564204096 is a wasteful number, since it uses less digits than its factorization.

225564204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 280 counting only the distinct ones).

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

The spelling of 225564204096 in words is "two hundred twenty-five billion, five hundred sixty-four million, two hundred four thousand, ninety-six".