225444904320 has 640 divisors, whose sum is σ = 818300867040. Its totient is φ = 52592836608.

The previous prime is 225444904313. The next prime is 225444904367. The reversal of 225444904320 is 23409444522.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4253677414 + ... + 4253677466.

Almost surely, 2^225444904320 is an apocalyptic number.

225444904320 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 225444904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409150433520).

225444904320 is an abundant number, since it is smaller than the sum of its proper divisors (592855962720).

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

225444904320 is an frugal number, since it uses more digits than its factorization.

225444904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 225444904320 in words is "two hundred twenty-five billion, four hundred forty-four million, nine hundred four thousand, three hundred twenty".