225457176960 has 768 divisors, whose sum is σ = 857185804800. Its totient is φ = 54546923520.

The previous prime is 225457176941. The next prime is 225457176961. The reversal of 225457176960 is 69671754522.

It is a happy number.

225457176960 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 571 + 7 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225457176897 and 225457176906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225457176961) 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, 877265152 + ... + 877265408.

It is an arithmetic number, because the mean of its divisors is an integer number (1116127350).

Almost surely, 2^225457176960 is an apocalyptic number.

225457176960 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 225457176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428592902400).

225457176960 is an abundant number, since it is smaller than the sum of its proper divisors (631728627840).

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

225457176960 is a wasteful number, since it uses less digits than its factorization.

225457176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 225457176960 in words is "two hundred twenty-five billion, four hundred fifty-seven million, one hundred seventy-six thousand, nine hundred sixty".