225457560799488 has 216 divisors, whose sum is σ = 678654453317568. Its totient is φ = 71848808165376.

The previous prime is 225457560799469. The next prime is 225457560799543. The reversal of 225457560799488 is 884997065754522.

225457560799488 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 7 + 5 + 60 + 79 + 9 + 488 = 666.

It is a super-2 number, since 2×225457560799488² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104224506 + ... + 106365702.

Almost surely, 2^{225457560799488} 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 225457560799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339327226658784).

225457560799488 is an abundant number, since it is smaller than the sum of its proper divisors (453196892518080).

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

225457560799488 is a wasteful number, since it uses less digits than its factorization.

225457560799488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143229 (or 2143212 counting only the distinct ones).

The product of its (nonzero) digits is 12192768000, while the sum is 81.

The spelling of 225457560799488 in words is "two hundred twenty-five trillion, four hundred fifty-seven billion, five hundred sixty million, seven hundred ninety-nine thousand, four hundred eighty-eight".