225289838592 has 1260 divisors, whose sum is σ = 868468432986. Its totient is φ = 57967902720.

The previous prime is 225289838591. The next prime is 225289838647. The reversal of 225289838592 is 295838982522.

225289838592 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 9 + 8 + 38 + 592 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52819070976 + 172470767616 = 229824^2 + 415296^2 .

It is a super-2 number, since 2×225289838592² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (225289838591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5494874092 + ... + 5494874132.

Almost surely, 2^225289838592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225289838592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434234216493).

225289838592 is an abundant number, since it is smaller than the sum of its proper divisors (643178594394).

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

225289838592 is an equidigital number, since it uses as much as digits as its factorization.

225289838592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 225289838592 in words is "two hundred twenty-five billion, two hundred eighty-nine million, eight hundred thirty-eight thousand, five hundred ninety-two".