225899444160 has 448 divisors, whose sum is σ = 866765612160. Its totient is φ = 55052697600.

The previous prime is 225899444137. The next prime is 225899444179. The reversal of 225899444160 is 61444998522.

225899444160 is a `hidden beast` number, since 2 + 2 + 58 + 9 + 94 + 441 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225899444097 and 225899444106.

It is a congruent number.

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, 11334364 + ... + 11354276.

It is an arithmetic number, because the mean of its divisors is an integer number (1934744670).

Almost surely, 2^225899444160 is an apocalyptic number.

225899444160 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 225899444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382806080).

225899444160 is an abundant number, since it is smaller than the sum of its proper divisors (640866168000).

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

225899444160 is a wasteful number, since it uses less digits than its factorization.

225899444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20053 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 225899444160 in words is "two hundred twenty-five billion, eight hundred ninety-nine million, four hundred forty-four thousand, one hundred sixty".