225695242368 has 72 divisors (see below), whose sum is σ = 649507973205. Its totient is φ = 75226372608.

The previous prime is 225695242361. The next prime is 225695242403. The reversal of 225695242368 is 863242596522.

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.

225695242368 is a `hidden beast` number, since 2 + 2 + 56 + 9 + 524 + 2 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225655401024 + 39841344 = 475032^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335928.

It is a super-4 number, since 4×225695242368⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (225695242361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16117546 + ... + 16131542.

Almost surely, 2^225695242368 is an apocalyptic number.

It is an amenable number.

225695242368 is an abundant number, since it is smaller than the sum of its proper divisors (423812730837).

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

225695242368 is an frugal number, since it uses more digits than its factorization.

225695242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28014 (or 14002 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 225695242368 in words is "two hundred twenty-five billion, six hundred ninety-five million, two hundred forty-two thousand, three hundred sixty-eight".