225630719424 has 896 divisors, whose sum is σ = 782784921600. Its totient is φ = 63078912000.

The previous prime is 225630719401. The next prime is 225630719441. The reversal of 225630719424 is 424917036522.

225630719424 is a `hidden beast` number, since 2 + 2 + 5 + 630 + 7 + 1 + 9 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225630719424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1722371839 + ... + 1722371969.

Almost surely, 2^225630719424 is an apocalyptic number.

225630719424 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 225630719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391392460800).

225630719424 is an abundant number, since it is smaller than the sum of its proper divisors (557154202176).

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

225630719424 is a wasteful number, since it uses less digits than its factorization.

225630719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 225630719424 in words is "two hundred twenty-five billion, six hundred thirty million, seven hundred nineteen thousand, four hundred twenty-four".