12864966946821 has 24 divisors (see below), whose sum is σ = 20272260740160. Its totient is φ = 7796875968000.

The previous prime is 12864966946807. The next prime is 12864966946837.

12864966946821 is a `hidden beast` number, since 1 + 2 + 86 + 4 + 9 + 6 + 69 + 468 + 21 = 666.

12864966946821 is nontrivially palindromic in base 10.

12864966946821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12864966946821 - 2²² = 12864962752517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12864966946821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864966946891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11020296 + ... + 12131646.

It is an arithmetic number, because the mean of its divisors is an integer number (844677530840).

Almost surely, 2^{12864966946821} is an apocalyptic number.

12864966946821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12864966946821 is a deficient number, since it is larger than the sum of its proper divisors (7407293793339).

12864966946821 is a wasteful number, since it uses less digits than its factorization.

12864966946821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228297 (or 1228294 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 12864966946821 in words is "twelve trillion, eight hundred sixty-four billion, nine hundred sixty-six million, nine hundred forty-six thousand, eight hundred twenty-one".