225345885133824 has 792 divisors, whose sum is σ = 825459194938560. Its totient is φ = 58679458725888.

The previous prime is 225345885133753. The next prime is 225345885133871. The reversal of 225345885133824 is 428331588543522.

225345885133824 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 4 + 5 + 88 + 513 + 38 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 463533822 + ... + 464019714.

Almost surely, 2^{225345885133824} is an apocalyptic number.

225345885133824 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 225345885133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412729597469280).

225345885133824 is an abundant number, since it is smaller than the sum of its proper divisors (600113309804736).

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

225345885133824 is a wasteful number, since it uses less digits than its factorization.

225345885133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486025 (or 485997 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 63.

The spelling of 225345885133824 in words is "two hundred twenty-five trillion, three hundred forty-five billion, eight hundred eighty-five million, one hundred thirty-three thousand, eight hundred twenty-four".