225161856000 has 1232 divisors, whose sum is σ = 893516482560. Its totient is φ = 56435097600.

The previous prime is 225161855921. The next prime is 225161856041. The reversal of 225161856000 is 658161522.

225161856000 is a `hidden beast` number, since 2 + 2 + 516 + 1 + 85 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×225161856000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1772927937 + ... + 1772928063.

Almost surely, 2^225161856000 is an apocalyptic number.

225161856000 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 225161856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446758241280).

225161856000 is an abundant number, since it is smaller than the sum of its proper divisors (668354626560).

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

225161856000 is an equidigital number, since it uses as much as digits as its factorization.

225161856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 225161856000 in words is "two hundred twenty-five billion, one hundred sixty-one million, eight hundred fifty-six thousand".