225823957344 has 192 divisors, whose sum is σ = 690900295680. Its totient is φ = 71623664640.

The previous prime is 225823957343. The next prime is 225823957433. The reversal of 225823957344 is 443759328522.

225823957344 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 23 + 9 + 573 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225823957343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765804 + ... + 3825300.

It is an arithmetic number, because the mean of its divisors is an integer number (3598439040).

Almost surely, 2^225823957344 is an apocalyptic number.

225823957344 is a gapful number since it is divisible by the number (24) 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 225823957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345450147840).

225823957344 is an abundant number, since it is smaller than the sum of its proper divisors (465076338336).

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

225823957344 is a wasteful number, since it uses less digits than its factorization.

225823957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59730 (or 59716 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 225823957344 in words is "two hundred twenty-five billion, eight hundred twenty-three million, nine hundred fifty-seven thousand, three hundred forty-four".