225686112529520 has 160 divisors (see below), whose sum is σ = 539872295961600. Its totient is φ = 87676476115968.

The previous prime is 225686112529447. The next prime is 225686112529609. The reversal of 225686112529520 is 25925211686522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16158517577 + ... + 16158531543.

It is an arithmetic number, because the mean of its divisors is an integer number (3374201849760).

Almost surely, 2^{225686112529520} is an apocalyptic number.

225686112529520 is a gapful number since it is divisible by the number (20) 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 225686112529520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269936147980800).

225686112529520 is an abundant number, since it is smaller than the sum of its proper divisors (314186183432080).

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

225686112529520 is a wasteful number, since it uses less digits than its factorization.

225686112529520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23455 (or 23449 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 56.

The spelling of 225686112529520 in words is "two hundred twenty-five trillion, six hundred eighty-six billion, one hundred twelve million, five hundred twenty-nine thousand, five hundred twenty".