11322329927689 has 27 divisors (see below), whose sum is σ = 12535396953429. Its totient is φ = 10218966484320.

The previous prime is 11322329927663. The next prime is 11322329927693. The reversal of 11322329927689 is 98672992322311.

The square root of 11322329927689 is 3364867.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1881410006025 + 9440919921664 = 1371645^2 + 3072608^2 .

It is not a de Polignac number, because 11322329927689 - 2¹⁹ = 11322329403401 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 11322329927689.

It is not an unprimeable number, because it can be changed into a prime (11322329927989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5515015987 + ... + 5515018039.

Almost surely, 2^{11322329927689} is an apocalyptic number.

11322329927689 is the 3364867-th square number.

11322329927689 is the 1682434-th centered octagonal number.

It is an amenable number.

11322329927689 is a deficient number, since it is larger than the sum of its proper divisors (1213067025740).

11322329927689 is an frugal number, since it uses more digits than its factorization.

11322329927689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 2213 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 64.

Multiplying 11322329927689 by its sum of digits (64), we get a square (724629115372096 = 26918936²).

The spelling of 11322329927689 in words is "eleven trillion, three hundred twenty-two billion, three hundred twenty-nine million, nine hundred twenty-seven thousand, six hundred eighty-nine".