12366511566321 has 128 divisors (see below), whose sum is σ = 19477396463616. Its totient is φ = 6903100385280.

The previous prime is 12366511566317. The next prime is 12366511566401.

12366511566321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12366511566321 - 2² = 12366511566317 is a prime.

It is a super-4 number, since 4×12366511566321⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12366511566301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1092731955 + ... + 1092743271.

It is an arithmetic number, because the mean of its divisors is an integer number (152167159872).

Almost surely, 2^{12366511566321} is an apocalyptic number.

12366511566321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12366511566321 is a deficient number, since it is larger than the sum of its proper divisors (7110884897295).

12366511566321 is a wasteful number, since it uses less digits than its factorization.

12366511566321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791.

The product of its digits is 1166400, while the sum is 48.

The spelling of 12366511566321 in words is "twelve trillion, three hundred sixty-six billion, five hundred eleven million, five hundred sixty-six thousand, three hundred twenty-one".