225279332496 has 135 divisors (see below), whose sum is σ = 648576197451. Its totient is φ = 72995219712.

The previous prime is 225279332483. The next prime is 225279332519. The reversal of 225279332496 is 694233972522.

The square root of 225279332496 is 474636.

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

225279332496 is a `hidden beast` number, since 2 + 2 + 52 + 79 + 3 + 32 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37908090000 + 187371242496 = 194700^2 + 432864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210737850 + ... + 210738918.

Almost surely, 2^225279332496 is an apocalyptic number.

225279332496 is the 474636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225279332496

225279332496 is an abundant number, since it is smaller than the sum of its proper divisors (423296864955).

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

225279332496 is an equidigital number, since it uses as much as digits as its factorization.

225279332496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1111 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 225279332496 in words is "two hundred twenty-five billion, two hundred seventy-nine million, three hundred thirty-two thousand, four hundred ninety-six".