225046233173772 has 144 divisors (see below), whose sum is σ = 576664481283072. Its totient is φ = 73990179648000.

The previous prime is 225046233173771. The next prime is 225046233173807. The reversal of 225046233173772 is 277371332640522.

225046233173772 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 4 + 623 + 3 + 1 + 7 + 3 + 7 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (225046233173771) 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 47 ways as a sum of consecutive naturals, for example, 8296010073 + ... + 8296037199.

Almost surely, 2^{225046233173772} 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 225046233173772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288332240641536).

225046233173772 is an abundant number, since it is smaller than the sum of its proper divisors (351618248109300).

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

225046233173772 is a wasteful number, since it uses less digits than its factorization.

225046233173772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31668 (or 31663 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 225046233173772 in words is "two hundred twenty-five trillion, forty-six billion, two hundred thirty-three million, one hundred seventy-three thousand, seven hundred seventy-two".