225517460472 has 128 divisors (see below), whose sum is σ = 653101574400. Its totient is φ = 72038768256.

The previous prime is 225517460453. The next prime is 225517460477. The reversal of 225517460472 is 274064715522.

225517460472 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 174 + 6 + 0 + 472 = 666.

It is a super-3 number, since 3×225517460472³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225517460477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263203 + ... + 721325.

It is an arithmetic number, because the mean of its divisors is an integer number (5102356050).

Almost surely, 2^225517460472 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 225517460472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326550787200).

225517460472 is an abundant number, since it is smaller than the sum of its proper divisors (427584113928).

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

225517460472 is a wasteful number, since it uses less digits than its factorization.

225517460472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458234 (or 458224 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 225517460472 in words is "two hundred twenty-five billion, five hundred seventeen million, four hundred sixty thousand, four hundred seventy-two".