11013166548689 has 2 divisors, whose sum is σ = 11013166548690. Its totient is φ = 11013166548688.

The previous prime is 11013166548667. The next prime is 11013166548697. The reversal of 11013166548689 is 98684566131011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10263181104400 + 749985444289 = 3203620^2 + 866017^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013166548689 - 2²⁸ = 11012898113233 is a prime.

It is not a weakly prime, because it can be changed into another prime (11013166508689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5506583274344 + 5506583274345.

It is an arithmetic number, because the mean of its divisors is an integer number (5506583274345).

Almost surely, 2^{11013166548689} is an apocalyptic number.

It is an amenable number.

11013166548689 is a deficient number, since it is larger than the sum of its proper divisors (1).

11013166548689 is an equidigital number, since it uses as much as digits as its factorization.

11013166548689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7464960, while the sum is 59.

The spelling of 11013166548689 in words is "eleven trillion, thirteen billion, one hundred sixty-six million, five hundred forty-eight thousand, six hundred eighty-nine".