225094444800 has 216 divisors, whose sum is σ = 749808009216. Its totient is φ = 59463659520.

The previous prime is 225094444787. The next prime is 225094444811. The reversal of 225094444800 is 8444490522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999617 + ... + 2109183.

It is an arithmetic number, because the mean of its divisors is an integer number (3471333376).

Almost surely, 2^225094444800 is an apocalyptic number.

225094444800 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 225094444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374904004608).

225094444800 is an abundant number, since it is smaller than the sum of its proper divisors (524713564416).

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

225094444800 is a wasteful number, since it uses less digits than its factorization.

225094444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109703 (or 109684 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 225094444800 in words is "two hundred twenty-five billion, ninety-four million, four hundred forty-four thousand, eight hundred".