225867270272 has 216 divisors, whose sum is σ = 557615521935. Its totient is φ = 90848034816.

The previous prime is 225867270193. The next prime is 225867270281. The reversal of 225867270272 is 272072768522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 157151987776 + 68715282496 = 396424^2 + 262136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336056.

It is a self number, because there is not a number n which added to its sum of digits gives 225867270272.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 639850448 + ... + 639850800.

Almost surely, 2^225867270272 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 225867270272

225867270272 is an abundant number, since it is smaller than the sum of its proper divisors (331748251663).

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

225867270272 is an frugal number, since it uses more digits than its factorization.

225867270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

Multiplying 225867270272 by its sum of digits (50), we get a square (11293363513600 = 3360560²).

The spelling of 225867270272 in words is "two hundred twenty-five billion, eight hundred sixty-seven million, two hundred seventy thousand, two hundred seventy-two".