225291328704 has 84 divisors (see below), whose sum is σ = 695430548176. Its totient is φ = 69320406528.

The previous prime is 225291328681. The next prime is 225291328729. The reversal of 225291328704 is 407823192522.

225291328704 is a `hidden beast` number, since 2 + 252 + 9 + 1 + 328 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225291328704.

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 11 ways as a sum of consecutive naturals, for example, 15036004 + ... + 15050979.

Almost surely, 2^225291328704 is an apocalyptic number.

225291328704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225291328704 is an abundant number, since it is smaller than the sum of its proper divisors (470139219472).

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

225291328704 is a wasteful number, since it uses less digits than its factorization.

225291328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30087014 (or 30087001 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 225291328704 in words is "two hundred twenty-five billion, two hundred ninety-one million, three hundred twenty-eight thousand, seven hundred four".