225745057235460 has 192 divisors, whose sum is σ = 726073463808000. Its totient is φ = 51335392508928.

The previous prime is 225745057235459. The next prime is 225745057235471. The reversal of 225745057235460 is 64532750547522.

It is a super-2 number, since 2×225745057235460² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225745057235460.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089194521 + ... + 1089401759.

It is an arithmetic number, because the mean of its divisors is an integer number (3781632624000).

Almost surely, 2^{225745057235460} is an apocalyptic number.

225745057235460 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 225745057235460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363036731904000).

225745057235460 is an abundant number, since it is smaller than the sum of its proper divisors (500328406572540).

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

225745057235460 is a wasteful number, since it uses less digits than its factorization.

225745057235460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220490 (or 220488 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 57.

The spelling of 225745057235460 in words is "two hundred twenty-five trillion, seven hundred forty-five billion, fifty-seven million, two hundred thirty-five thousand, four hundred sixty".