225252679344 has 480 divisors, whose sum is σ = 779710095360. Its totient is φ = 55256947200.

The previous prime is 225252679279. The next prime is 225252679367. The reversal of 225252679344 is 443976252522.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247258249 + ... + 247259159.

It is an arithmetic number, because the mean of its divisors is an integer number (1624396032).

Almost surely, 2^225252679344 is an apocalyptic number.

225252679344 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 225252679344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389855047680).

225252679344 is an abundant number, since it is smaller than the sum of its proper divisors (554457416016).

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

225252679344 is a wasteful number, since it uses less digits than its factorization.

225252679344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The spelling of 225252679344 in words is "two hundred twenty-five billion, two hundred fifty-two million, six hundred seventy-nine thousand, three hundred forty-four".