11856119116801 has 2 divisors, whose sum is σ = 11856119116802. Its totient is φ = 11856119116800.

The previous prime is 11856119116783. The next prime is 11856119116841. The reversal of 11856119116801 is 10861191165811.

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., 8369593650625 + 3486525466176 = 2893025^2 + 1867224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11856119116801 is a prime.

It is not a weakly prime, because it can be changed into another prime (11856119116841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5928059558400 + 5928059558401.

It is an arithmetic number, because the mean of its divisors is an integer number (5928059558401).

Almost surely, 2^{11856119116801} is an apocalyptic number.

It is an amenable number.

11856119116801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11856119116801 is an equidigital number, since it uses as much as digits as its factorization.

11856119116801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 49.

The spelling of 11856119116801 in words is "eleven trillion, eight hundred fifty-six billion, one hundred nineteen million, one hundred sixteen thousand, eight hundred one".