12357945759769 has 9 divisors (see below), whose sum is σ = 12437715625311. Its totient is φ = 12278684329080.

The previous prime is 12357945759737. The next prime is 12357945759793. The reversal of 12357945759769 is 96795754975321.

The square root of 12357945759769 is 3515387.

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., 3622303465225 + 8735642294544 = 1903235^2 + 2955612^2 .

It is not a de Polignac number, because 12357945759769 - 2⁵ = 12357945759737 is a prime.

It is a super-2 number, since 2×12357945759769² (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 (12357945751769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 551904564 + ... + 551926954.

Almost surely, 2^{12357945759769} is an apocalyptic number.

12357945759769 is the 3515387-th square number.

12357945759769 is the 1757694-th centered octagonal number.

It is an amenable number.

12357945759769 is a deficient number, since it is larger than the sum of its proper divisors (79769865542).

12357945759769 is an frugal number, since it uses more digits than its factorization.

12357945759769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45096 (or 22548 counting only the distinct ones).

The product of its digits is 4500846000, while the sum is 79.

The spelling of 12357945759769 in words is "twelve trillion, three hundred fifty-seven billion, nine hundred forty-five million, seven hundred fifty-nine thousand, seven hundred sixty-nine".