225041458320 has 240 divisors, whose sum is σ = 909190439040. Its totient is φ = 48730761216.

The previous prime is 225041458309. The next prime is 225041458333. The reversal of 225041458320 is 23854140522.

225041458320 is a `hidden beast` number, since 2 + 2 + 50 + 4 + 1 + 4 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1079269 + ... + 1270788.

It is an arithmetic number, because the mean of its divisors is an integer number (3788293496).

Almost surely, 2^225041458320 is an apocalyptic number.

225041458320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225041458320 is an abundant number, since it is smaller than the sum of its proper divisors (684148980720).

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

225041458320 is a wasteful number, since it uses less digits than its factorization.

225041458320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350102 (or 2350093 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 225041458320 its reverse (23854140522), we get a palindrome (248895598842).

The spelling of 225041458320 in words is "two hundred twenty-five billion, forty-one million, four hundred fifty-eight thousand, three hundred twenty".