12789971758249 has 81 divisors (see below), whose sum is σ = 16221811493871. Its totient is φ = 10052569820160.

The previous prime is 12789971758219. The next prime is 12789971758261. The reversal of 12789971758249 is 94285717998721.

The square root of 12789971758249 is 3576307.

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 2093539866649 + 10696431891600 = 1446907^2 + 3270540^2 .

It is not a de Polignac number, because 12789971758249 - 2¹⁵ = 12789971725481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12789971758219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17448801487 + ... + 17448802219.

Almost surely, 2^{12789971758249} is an apocalyptic number.

12789971758249 is the 3576307-th square number.

12789971758249 is the 1788154-th centered octagonal number.

It is an amenable number.

12789971758249 is a deficient number, since it is larger than the sum of its proper divisors (3431839735622).

12789971758249 is an frugal number, since it uses more digits than its factorization.

12789971758249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 798 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 79.

The spelling of 12789971758249 in words is "twelve trillion, seven hundred eighty-nine billion, nine hundred seventy-one million, seven hundred fifty-eight thousand, two hundred forty-nine".