225287772624 has 120 divisors (see below), whose sum is σ = 651634673664. Its totient is φ = 72583776000.

The previous prime is 225287772569. The next prime is 225287772631. The reversal of 225287772624 is 426277782522.

225287772624 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 7 + 7 + 7 + 2 + 624 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3634209 + ... + 3695679.

Almost surely, 2^225287772624 is an apocalyptic number.

225287772624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225287772624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325817336832).

225287772624 is an abundant number, since it is smaller than the sum of its proper divisors (426346901040).

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

225287772624 is a wasteful number, since it uses less digits than its factorization.

225287772624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62337 (or 62328 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 225287772624 in words is "two hundred twenty-five billion, two hundred eighty-seven million, seven hundred seventy-two thousand, six hundred twenty-four".