225364138272 has 1920 divisors, whose sum is σ = 934372454400. Its totient is φ = 52672757760.

The previous prime is 225364138271. The next prime is 225364138297. The reversal of 225364138272 is 272831463522.

225364138272 is a `hidden beast` number, since 2 + 2 + 5 + 364 + 13 + 8 + 272 = 666.

It is a super-2 number, since 2×225364138272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225364138271) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6090922638 + ... + 6090922674.

It is an arithmetic number, because the mean of its divisors is an integer number (486652320).

Almost surely, 2^225364138272 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 225364138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467186227200).

225364138272 is an abundant number, since it is smaller than the sum of its proper divisors (709008316128).

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

225364138272 is a wasteful number, since it uses less digits than its factorization.

225364138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 225364138272 in words is "two hundred twenty-five billion, three hundred sixty-four million, one hundred thirty-eight thousand, two hundred seventy-two".