225942682033152 has 528 divisors, whose sum is σ = 787023262854400. Its totient is φ = 61157297922048.

The previous prime is 225942682033151. The next prime is 225942682033177. The reversal of 225942682033152 is 251330286249522.

225942682033152 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 426 + 8 + 203 + 3 + 1 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225942682033151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442232499 + ... + 442743117.

Almost surely, 2^{225942682033152} 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 225942682033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393511631427200).

225942682033152 is an abundant number, since it is smaller than the sum of its proper divisors (561080580821248).

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

225942682033152 is an equidigital number, since it uses as much as digits as its factorization.

225942682033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510709 (or 510650 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 225942682033152 in words is "two hundred twenty-five trillion, nine hundred forty-two billion, six hundred eighty-two million, thirty-three thousand, one hundred fifty-two".