12865379544001 has 2 divisors, whose sum is σ = 12865379544002. Its totient is φ = 12865379544000.

The previous prime is 12865379543999. The next prime is 12865379544029. The reversal of 12865379544001 is 10044597356821.

12865379544001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8048847028401 + 4816532515600 = 2837049^2 + 2194660^2 .

It is a cyclic number.

It is not a de Polignac number, because 12865379544001 - 2¹ = 12865379543999 is a prime.

It is a super-2 number, since 2×12865379544001² (a number of 27 digits) contains 22 as substring.

Together with 12865379543999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12865371544001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6432689772000 + 6432689772001.

It is an arithmetic number, because the mean of its divisors is an integer number (6432689772001).

It is a 1-persistent number, because it is pandigital, but 2⋅12865379544001 = 25730759088002 is not.

Almost surely, 2^{12865379544001} is an apocalyptic number.

It is an amenable number.

12865379544001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12865379544001 is an equidigital number, since it uses as much as digits as its factorization.

12865379544001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 12865379544001 in words is "twelve trillion, eight hundred sixty-five billion, three hundred seventy-nine million, five hundred forty-four thousand, one".