12864422446821 has 64 divisors (see below), whose sum is σ = 20885201326080. Its totient is φ = 7761322800000.

The previous prime is 12864422446807. The next prime is 12864422446879.

12864422446821 is a `hidden beast` number, since 1 + 2 + 86 + 4 + 42 + 2 + 446 + 82 + 1 = 666.

12864422446821 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12864422446821 - 2⁵ = 12864422446789 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864422446801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139431321 + ... + 139523553.

It is an arithmetic number, because the mean of its divisors is an integer number (326331270720).

Almost surely, 2^{12864422446821} is an apocalyptic number.

12864422446821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12864422446821 is a deficient number, since it is larger than the sum of its proper divisors (8020778879259).

12864422446821 is a wasteful number, since it uses less digits than its factorization.

12864422446821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94375 (or 94369 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 12864422446821 in words is "twelve trillion, eight hundred sixty-four billion, four hundred twenty-two million, four hundred forty-six thousand, eight hundred twenty-one".