12762849135169 has 27 divisors (see below), whose sum is σ = 15669688154211. Its totient is φ = 10363431511440.

The previous prime is 12762849135167. The next prime is 12762849135173. The reversal of 12762849135169 is 96153194826721.

The square root of 12762849135169 is 3572513.

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., 340748885169 + 12422100250000 = 583737^2 + 3524500^2 .

It is not a de Polignac number, because 12762849135169 - 2¹ = 12762849135167 is a prime.

It is a super-2 number, since 2×12762849135169² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12762849135169.

It is not an unprimeable number, because it can be changed into a prime (12762849135167) 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, 475130799 + ... + 475157659.

Almost surely, 2^{12762849135169} is an apocalyptic number.

12762849135169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12762849135169 is the 3572513-rd square number.

12762849135169 is the 1786257-th centered octagonal number.

It is an amenable number.

12762849135169 is a deficient number, since it is larger than the sum of its proper divisors (2906839019042).

12762849135169 is an frugal number, since it uses more digits than its factorization.

12762849135169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53774 (or 26887 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 64.

Multiplying 12762849135169 by its sum of digits (64), we get a square (816822344650816 = 28580104²).

The spelling of 12762849135169 in words is "twelve trillion, seven hundred sixty-two billion, eight hundred forty-nine million, one hundred thirty-five thousand, one hundred sixty-nine".