225318210624 has 140 divisors (see below), whose sum is σ = 719291958924. Its totient is φ = 69328659456.

The previous prime is 225318210617. The next prime is 225318210679. The reversal of 225318210624 is 426012813522.

225318210624 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 1 + 8 + 21 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18322329600 + 206995881024 = 135360^2 + 454968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1604307 + ... + 1739090.

Almost surely, 2^225318210624 is an apocalyptic number.

225318210624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225318210624 is an abundant number, since it is smaller than the sum of its proper divisors (493973748300).

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

225318210624 is a wasteful number, since it uses less digits than its factorization.

225318210624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343434 (or 3343415 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 225318210624 in words is "two hundred twenty-five billion, three hundred eighteen million, two hundred ten thousand, six hundred twenty-four".