12385686681 has 9 divisors (see below), whose sum is σ = 17890918591. Its totient is φ = 8256901872.

The previous prime is 12385686673. The next prime is 12385686689. The reversal of 12385686681 is 18668658321.

The square root of 12385686681 is 111291.

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

12385686681 is a `hidden beast` number, since 12 + 3 + 8 + 568 + 6 + 68 + 1 = 666.

12385686681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12385686673) and next prime (12385686689).

It can be written as a sum of positive squares in only one way, i.e., 2508507225 + 9877179456 = 50085^2 + 99384^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12385686681 - 2³ = 12385686673 is a prime.

It is a super-2 number, since 2×12385686681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12385686689) 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 8 ways as a sum of consecutive naturals, for example, 315325 + ... + 352421.

Almost surely, 2^12385686681 is an apocalyptic number.

12385686681 is the 111291-st square number.

12385686681 is the 55646-th centered octagonal number.

It is an amenable number.

12385686681 is a deficient number, since it is larger than the sum of its proper divisors (5505231910).

12385686681 is an frugal number, since it uses more digits than its factorization.

12385686681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74200 (or 37100 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12385686681 in words is "twelve billion, three hundred eighty-five million, six hundred eighty-six thousand, six hundred eighty-one".