225746998960560 has 480 divisors, whose sum is σ = 897048326899200. Its totient is φ = 46908465246720.

The previous prime is 225746998960513. The next prime is 225746998960619. The reversal of 225746998960560 is 65069899647522.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371142 + ... + 21292581.

It is an arithmetic number, because the mean of its divisors is an integer number (1868850681040).

Almost surely, 2^{225746998960560} is an apocalyptic number.

225746998960560 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 225746998960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448524163449600).

225746998960560 is an abundant number, since it is smaller than the sum of its proper divisors (671301327938640).

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

225746998960560 is a wasteful number, since it uses less digits than its factorization.

225746998960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22663782 (or 22663751 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 78.

The spelling of 225746998960560 in words is "two hundred twenty-five trillion, seven hundred forty-six billion, nine hundred ninety-eight million, nine hundred sixty thousand, five hundred sixty".