11164017177713 has 2 divisors, whose sum is σ = 11164017177714. Its totient is φ = 11164017177712.

The previous prime is 11164017177679. The next prime is 11164017177851. The reversal of 11164017177713 is 31777171046111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11144700903424 + 19316274289 = 3338368^2 + 138983^2 .

It is a cyclic number.

It is not a de Polignac number, because 11164017177713 - 2⁸ = 11164017177457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11164017179713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5582008588856 + 5582008588857.

It is an arithmetic number, because the mean of its divisors is an integer number (5582008588857).

Almost surely, 2^{11164017177713} is an apocalyptic number.

It is an amenable number.

11164017177713 is a deficient number, since it is larger than the sum of its proper divisors (1).

11164017177713 is an equidigital number, since it uses as much as digits as its factorization.

11164017177713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172872, while the sum is 47.

The spelling of 11164017177713 in words is "eleven trillion, one hundred sixty-four billion, seventeen million, one hundred seventy-seven thousand, seven hundred thirteen".