225844312320 has 864 divisors, whose sum is σ = 898416489600. Its totient is φ = 53664399360.

The previous prime is 225844312273. The next prime is 225844312363. The reversal of 225844312320 is 23213448522.

225844312320 is a `hidden beast` number, since 2 + 2 + 584 + 4 + 31 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221632771 + ... + 221633789.

It is an arithmetic number, because the mean of its divisors is an integer number (1039833900).

Almost surely, 2^225844312320 is an apocalyptic number.

225844312320 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 225844312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449208244800).

225844312320 is an abundant number, since it is smaller than the sum of its proper divisors (672572177280).

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

225844312320 is a wasteful number, since it uses less digits than its factorization.

225844312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 225844312320 in words is "two hundred twenty-five billion, eight hundred forty-four million, three hundred twelve thousand, three hundred twenty".