225616713630 has 192 divisors, whose sum is σ = 717141468672. Its totient is φ = 44123535360.

The previous prime is 225616713617. The next prime is 225616713667. The reversal of 225616713630 is 36317616522.

225616713630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498612 + ... + 836568.

It is an arithmetic number, because the mean of its divisors is an integer number (3735111816).

Almost surely, 2^225616713630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225616713630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570734336).

225616713630 is an abundant number, since it is smaller than the sum of its proper divisors (491524755042).

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

225616713630 is a wasteful number, since it uses less digits than its factorization.

225616713630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338019 (or 338002 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 225616713630 in words is "two hundred twenty-five billion, six hundred sixteen million, seven hundred thirteen thousand, six hundred thirty".