225607240624 has 160 divisors (see below), whose sum is σ = 479433600000. Its totient is φ = 102502692864.

The previous prime is 225607240619. The next prime is 225607240637. The reversal of 225607240624 is 426042706522.

225607240624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126107122 + ... + 126108910.

It is an arithmetic number, because the mean of its divisors is an integer number (2996460000).

Almost surely, 2^225607240624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225607240624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239716800000).

225607240624 is an abundant number, since it is smaller than the sum of its proper divisors (253826359376).

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

225607240624 is a wasteful number, since it uses less digits than its factorization.

225607240624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 225607240624 in words is "two hundred twenty-five billion, six hundred seven million, two hundred forty thousand, six hundred twenty-four".