225336326828160 has 256 divisors, whose sum is σ = 726671135232000. Its totient is φ = 59389849645056.

The previous prime is 225336326828117. The next prime is 225336326828219. The reversal of 225336326828160 is 61828623633522.

It is a self number, because there is not a number n which added to its sum of digits gives 225336326828160.

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, 57621111 + ... + 61407369.

It is an arithmetic number, because the mean of its divisors is an integer number (2838559122000).

Almost surely, 2^{225336326828160} is an apocalyptic number.

225336326828160 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 225336326828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363335567616000).

225336326828160 is an abundant number, since it is smaller than the sum of its proper divisors (501334808403840).

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

225336326828160 is a wasteful number, since it uses less digits than its factorization.

225336326828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786643 (or 3786631 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 225336326828160 in words is "two hundred twenty-five trillion, three hundred thirty-six billion, three hundred twenty-six million, eight hundred twenty-eight thousand, one hundred sixty".