12768266649601 has 16 divisors (see below), whose sum is σ = 12945319357824. Its totient is φ = 12591776640384.

The previous prime is 12768266649569. The next prime is 12768266649641. The reversal of 12768266649601 is 10694666286721.

It is a cyclic number.

It is not a de Polignac number, because 12768266649601 - 2⁵ = 12768266649569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12768266649641) 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 15 ways as a sum of consecutive naturals, for example, 230725531 + ... + 230780863.

It is an arithmetic number, because the mean of its divisors is an integer number (809082459864).

Almost surely, 2^{12768266649601} is an apocalyptic number.

It is an amenable number.

12768266649601 is a deficient number, since it is larger than the sum of its proper divisors (177052708223).

12768266649601 is an equidigital number, since it uses as much as digits as its factorization.

12768266649601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60360.

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 12768266649601 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred sixty-six million, six hundred forty-nine thousand, six hundred one".