11105685337889 has 2 divisors, whose sum is σ = 11105685337890. Its totient is φ = 11105685337888.

The previous prime is 11105685337829. The next prime is 11105685337909. The reversal of 11105685337889 is 98873358650111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6080130187264 + 5025555150625 = 2465792^2 + 2241775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11105685337889 is a prime.

It is not a weakly prime, because it can be changed into another prime (11105685337829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5552842668944 + 5552842668945.

It is an arithmetic number, because the mean of its divisors is an integer number (5552842668945).

Almost surely, 2^{11105685337889} is an apocalyptic number.

It is an amenable number.

11105685337889 is a deficient number, since it is larger than the sum of its proper divisors (1).

11105685337889 is an equidigital number, since it uses as much as digits as its factorization.

11105685337889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 65.

The spelling of 11105685337889 in words is "eleven trillion, one hundred five billion, six hundred eighty-five million, three hundred thirty-seven thousand, eight hundred eighty-nine".