7228123659289 has 27 divisors (see below), whose sum is σ = 7938391837527. Its totient is φ = 6578392444416.

The previous prime is 7228123659259. The next prime is 7228123659299. The reversal of 7228123659289 is 9829563218227.

The square root of 7228123659289 is 2688517.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6357836175625 + 870287483664 = 2521475^2 + 932892^2 .

It is not a de Polignac number, because 7228123659289 - 2⁷ = 7228123659161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7228123659289.

It is not an unprimeable number, because it can be changed into a prime (7228123659259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2551401217 + ... + 2551404049.

It is an arithmetic number, because the mean of its divisors is an integer number (294014512501).

Almost surely, 2^{7228123659289} is an apocalyptic number.

7228123659289 is the 2688517-th square number.

7228123659289 is the 1344259-th centered octagonal number.

It is an amenable number.

7228123659289 is a deficient number, since it is larger than the sum of its proper divisors (710268178238).

7228123659289 is an frugal number, since it uses more digits than its factorization.

7228123659289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 2919 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

Multiplying 7228123659289 by its sum of digits (64), we get a square (462599914194496 = 21508136²).

The spelling of 7228123659289 in words is "seven trillion, two hundred twenty-eight billion, one hundred twenty-three million, six hundred fifty-nine thousand, two hundred eighty-nine".