12605386768 has 40 divisors (see below), whose sum is σ = 26346235608. Its totient is φ = 5808003072.

The previous prime is 12605386741. The next prime is 12605386769. The reversal of 12605386768 is 86768350621.

12605386768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2044124944 + 10561261824 = 45212^2 + 102768^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (12605386769) 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 7 ways as a sum of consecutive naturals, for example, 72246 + ... + 174442.

Almost surely, 2^12605386768 is an apocalyptic number.

It is an amenable number.

12605386768 is an abundant number, since it is smaller than the sum of its proper divisors (13740848840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12605386768 is a wasteful number, since it uses less digits than its factorization.

12605386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102811 (or 102805 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 12605386768 in words is "twelve billion, six hundred five million, three hundred eighty-six thousand, seven hundred sixty-eight".