225563929344 has 216 divisors, whose sum is σ = 741584555712. Its totient is φ = 65321533440.

The previous prime is 225563929289. The next prime is 225563929391. The reversal of 225563929344 is 443929365522.

It is a happy number.

225563929344 is a `hidden beast` number, since 2 + 2 + 556 + 39 + 29 + 34 + 4 = 666.

It is a super-2 number, since 2×225563929344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287689 + ... + 730679.

It is an arithmetic number, because the mean of its divisors is an integer number (3433261832).

Almost surely, 2^225563929344 is an apocalyptic number.

225563929344 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 225563929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370792277856).

225563929344 is an abundant number, since it is smaller than the sum of its proper divisors (516020626368).

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

225563929344 is a wasteful number, since it uses less digits than its factorization.

225563929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443043 (or 443026 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 225563929344 in words is "two hundred twenty-five billion, five hundred sixty-three million, nine hundred twenty-nine thousand, three hundred forty-four".