225951918336 has 135 divisors (see below), whose sum is σ = 673951902393. Its totient is φ = 75294489600.

The previous prime is 225951918323. The next prime is 225951918337. The reversal of 225951918336 is 633819159522.

The square root of 225951918336 is 475344.

It is a perfect power (a square), and thus also a powerful number.

225951918336 is a `hidden beast` number, since 2 + 2 + 595 + 1 + 9 + 18 + 3 + 36 = 666.

225951918336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46718228736 + 179233689600 = 216144^2 + 423360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225951918337) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68447886 + ... + 68451186.

Almost surely, 2^225951918336 is an apocalyptic number.

225951918336 is the 475344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225951918336

225951918336 is an abundant number, since it is smaller than the sum of its proper divisors (447999984057).

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

225951918336 is an frugal number, since it uses more digits than its factorization.

225951918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630 (or 3306 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 225951918336 in words is "two hundred twenty-five billion, nine hundred fifty-one million, nine hundred eighteen thousand, three hundred thirty-six".