225379966564 has 27 divisors (see below), whose sum is σ = 419010586617. Its totient is φ = 106053564864.

The previous prime is 225379966561. The next prime is 225379966589. The reversal of 225379966564 is 465669973522.

The square root of 225379966564 is 474742.

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

It can be written as a sum of positive squares in only one way, i.e., 175468832100 + 49911134464 = 418890^2 + 223408^2 .

It is a super-2 number, since 2×225379966564² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225379966496 and 225379966505.

It is not an unprimeable number, because it can be changed into a prime (225379966561) 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, 16134247 + ... + 16148209.

Almost surely, 2^225379966564 is an apocalyptic number.

225379966564 is the 474742-nd square number.

It is an amenable number.

225379966564 is a deficient number, since it is larger than the sum of its proper divisors (193630620053).

225379966564 is an frugal number, since it uses more digits than its factorization.

225379966564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27964 (or 13982 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 64.

Multiplying 225379966564 by its sum of digits (64), we get a square (14424317860096 = 3797936²).

The spelling of 225379966564 in words is "two hundred twenty-five billion, three hundred seventy-nine million, nine hundred sixty-six thousand, five hundred sixty-four".