225614188800 has 2916 divisors, whose sum is σ = 1134190000944. Its totient is φ = 42268262400.

The previous prime is 225614188781. The next prime is 225614188831. The reversal of 225614188800 is 8881416522.

225614188800 is a `hidden beast` number, since 2 + 2 + 561 + 4 + 1 + 8 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5246841579 + ... + 5246841621.

Almost surely, 2^225614188800 is an apocalyptic number.

225614188800 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 225614188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567095000472).

225614188800 is an abundant number, since it is smaller than the sum of its proper divisors (908575812144).

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

225614188800 is a wasteful number, since it uses less digits than its factorization.

225614188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

It can be divided in two parts, 225614 and 188800, that added together give a palindrome (414414).

The spelling of 225614188800 in words is "two hundred twenty-five billion, six hundred fourteen million, one hundred eighty-eight thousand, eight hundred".