225364775076 has 243 divisors, whose sum is σ = 675528047649. Its totient is φ = 63165142656.

The previous prime is 225364775059. The next prime is 225364775101. The reversal of 225364775076 is 670577463522.

It is a happy number.

The square root of 225364775076 is 474726.

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

225364775076 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 64 + 77 + 507 + 6 = 666.

225364775076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43274816676 + 182089958400 = 208026^2 + 426720^2 .

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, 1774525725 + ... + 1774525851.

Almost surely, 2^225364775076 is an apocalyptic number.

225364775076 is the 474726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225364775076

225364775076 is an abundant number, since it is smaller than the sum of its proper divisors (450163272573).

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

225364775076 is a wasteful number, since it uses less digits than its factorization.

225364775076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 225364775076 in words is "two hundred twenty-five billion, three hundred sixty-four million, seven hundred seventy-five thousand, seventy-six".