225376460856 has 128 divisors (see below), whose sum is σ = 640014566400. Its totient is φ = 73452476160.

The previous prime is 225376460851. The next prime is 225376460873. The reversal of 225376460856 is 658064673522.

225376460856 is a `hidden beast` number, since 2 + 25 + 3 + 7 + 6 + 4 + 608 + 5 + 6 = 666.

It is a super-2 number, since 2×225376460856² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225376460851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10476271 + ... + 10497761.

It is an arithmetic number, because the mean of its divisors is an integer number (5000113800).

Almost surely, 2^225376460856 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 225376460856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320007283200).

225376460856 is an abundant number, since it is smaller than the sum of its proper divisors (414638105544).

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

225376460856 is a wasteful number, since it uses less digits than its factorization.

225376460856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22586 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 225376460856 in words is "two hundred twenty-five billion, three hundred seventy-six million, four hundred sixty thousand, eight hundred fifty-six".