225604100484 has 243 divisors, whose sum is σ = 681762002103. Its totient is φ = 62719894944.

The previous prime is 225604100461. The next prime is 225604100591. The reversal of 225604100484 is 484001406522.

The square root of 225604100484 is 474978.

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

225604100484 is a `hidden beast` number, since 2 + 2 + 5 + 604 + 1 + 0 + 0 + 48 + 4 = 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 polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 857810137 + ... + 857810399.

Almost surely, 2^225604100484 is an apocalyptic number.

225604100484 is the 474978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225604100484

225604100484 is an abundant number, since it is smaller than the sum of its proper divisors (456157901619).

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

225604100484 is a wasteful number, since it uses less digits than its factorization.

225604100484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 225604100484 by its sum of digits (36), we get a square (8121747617424 = 2849868²).

225604100484 divided by its sum of digits (36) gives a square (6266780569 = 79163²).

The spelling of 225604100484 in words is "two hundred twenty-five billion, six hundred four million, one hundred thousand, four hundred eighty-four".