9659769672289 has 27 divisors (see below), whose sum is σ = 10997647068499. Its totient is φ = 8477924451920.

The previous prime is 9659769672283. The next prime is 9659769672341. The reversal of 9659769672289 is 9822769679569.

The square root of 9659769672289 is 3108017.

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., 5065348900689 + 4594420771600 = 2250633^2 + 2143460^2 .

It is not a de Polignac number, because 9659769672289 - 2²⁹ = 9659232801377 is a prime.

It is a super-2 number, since 2×9659769672289² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9659769672283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 991452552 + ... + 991462294.

Almost surely, 2^{9659769672289} is an apocalyptic number.

9659769672289 is the 3108017-th square number.

9659769672289 is the 1554009-th centered octagonal number.

It is an amenable number.

9659769672289 is a deficient number, since it is larger than the sum of its proper divisors (1337877396210).

9659769672289 is an frugal number, since it uses more digits than its factorization.

9659769672289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566 (or 9783 counting only the distinct ones).

The product of its digits is 11110659840, while the sum is 85.

The spelling of 9659769672289 in words is "nine trillion, six hundred fifty-nine billion, seven hundred sixty-nine million, six hundred seventy-two thousand, two hundred eighty-nine".