225498667689 has 45 divisors (see below), whose sum is σ = 355646487207. Its totient is φ = 142368925536.

The previous prime is 225498667661. The next prime is 225498667697. The reversal of 225498667689 is 986766894522.

It is a happy number.

The square root of 225498667689 is 474867.

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

225498667689 is a `hidden beast` number, since 2 + 2 + 5 + 498 + 66 + 76 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35060690025 + 190437977664 = 187245^2 + 436392^2 .

It is not a de Polignac number, because 225498667689 - 2¹⁹ = 225498143401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225498677689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81200869 + ... + 81203645.

Almost surely, 2^225498667689 is an apocalyptic number.

225498667689 is the 474867-th square number.

225498667689 is the 237434-th centered octagonal number.

It is an amenable number.

225498667689 is a deficient number, since it is larger than the sum of its proper divisors (130147819518).

225498667689 is an frugal number, since it uses more digits than its factorization.

225498667689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 2799 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 225498667689 in words is "two hundred twenty-five billion, four hundred ninety-eight million, six hundred sixty-seven thousand, six hundred eighty-nine".