225648170496 has 960 divisors, whose sum is σ = 814450728960. Its totient is φ = 61451550720.

The previous prime is 225648170491. The next prime is 225648170509. The reversal of 225648170496 is 694071846522.

225648170496 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 81 + 70 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225648170491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1776757185 + ... + 1776757311.

It is an arithmetic number, because the mean of its divisors is an integer number (848386176).

Almost surely, 2^225648170496 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 225648170496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407225364480).

225648170496 is an abundant number, since it is smaller than the sum of its proper divisors (588802558464).

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

225648170496 is a wasteful number, since it uses less digits than its factorization.

225648170496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 225648170496 in words is "two hundred twenty-five billion, six hundred forty-eight million, one hundred seventy thousand, four hundred ninety-six".