225012172392 has 192 divisors, whose sum is σ = 706290624000. Its totient is φ = 63388707840.

The previous prime is 225012172381. The next prime is 225012172421. The reversal of 225012172392 is 293271210522.

225012172392 is a `hidden beast` number, since 2 + 2 + 50 + 1 + 217 + 2 + 392 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10277217 + ... + 10299087.

It is an arithmetic number, because the mean of its divisors is an integer number (3678597000).

Almost surely, 2^225012172392 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 225012172392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353145312000).

225012172392 is an abundant number, since it is smaller than the sum of its proper divisors (481278451608).

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

225012172392 is a wasteful number, since it uses less digits than its factorization.

225012172392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 225012172392 in words is "two hundred twenty-five billion, twelve million, one hundred seventy-two thousand, three hundred ninety-two".