12628335927769 has 9 divisors (see below), whose sum is σ = 12725940437301. Its totient is φ = 12531474444060.

The previous prime is 12628335927737. The next prime is 12628335927787. The reversal of 12628335927769 is 96772953382621.

The square root of 12628335927769 is 3553637.

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

It is not a de Polignac number, because 12628335927769 - 2⁵ = 12628335927737 is a prime.

It is a super-2 number, since 2×12628335927769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12628335927698 and 12628335927707.

It is not an unprimeable number, because it can be changed into a prime (12628335927709) 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 8 ways as a sum of consecutive naturals, for example, 465512884 + ... + 465540010.

Almost surely, 2^{12628335927769} is an apocalyptic number.

12628335927769 is the 3553637-th square number.

12628335927769 is the 1776819-th centered octagonal number.

It is an amenable number.

12628335927769 is a deficient number, since it is larger than the sum of its proper divisors (97604509532).

12628335927769 is an frugal number, since it uses more digits than its factorization.

12628335927769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54516 (or 27258 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 70.

The spelling of 12628335927769 in words is "twelve trillion, six hundred twenty-eight billion, three hundred thirty-five million, nine hundred twenty-seven thousand, seven hundred sixty-nine".