225482898960 has 320 divisors, whose sum is σ = 863260104960. Its totient is φ = 53630853120.

The previous prime is 225482898947. The next prime is 225482898967. The reversal of 225482898960 is 69898284522.

225482898960 is a `hidden beast` number, since 2 + 2 + 5 + 482 + 8 + 98 + 9 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (225482898967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169752 + ... + 1348808.

It is an arithmetic number, because the mean of its divisors is an integer number (2697687828).

Almost surely, 2^225482898960 is an apocalyptic number.

225482898960 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 225482898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431630052480).

225482898960 is an abundant number, since it is smaller than the sum of its proper divisors (637777206000).

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

225482898960 is a wasteful number, since it uses less digits than its factorization.

225482898960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179143 (or 179131 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 225482898960 in words is "two hundred twenty-five billion, four hundred eighty-two million, eight hundred ninety-eight thousand, nine hundred sixty".