225885930368004 has 27 divisors (see below), whose sum is σ = 570989663044437. Its totient is φ = 75295280063664.

The previous prime is 225885930367987. The next prime is 225885930368009. The reversal of 225885930368004 is 400863039588522.

The square root of 225885930368004 is 15029502.

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

225885930368004 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 8 + 593 + 0 + 36 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80339850562500 + 145546079805504 = 8963250^2 + 12064248^2 .

It is not an unprimeable number, because it can be changed into a prime (225885930368009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88924554 + ... + 91429470.

Almost surely, 2^{225885930368004} is an apocalyptic number.

225885930368004 is the 15029502-nd square number.

It is an amenable number.

225885930368004 is an abundant number, since it is smaller than the sum of its proper divisors (345103732676433).

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

225885930368004 is an frugal number, since it uses more digits than its factorization.

225885930368004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009844 (or 2504922 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 225885930368004 in words is "two hundred twenty-five trillion, eight hundred eighty-five billion, nine hundred thirty million, three hundred sixty-eight thousand, four".