11567416814561 has 2 divisors, whose sum is σ = 11567416814562. Its totient is φ = 11567416814560.

The previous prime is 11567416814543. The next prime is 11567416814599. The reversal of 11567416814561 is 16541861476511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10854817462225 + 712599352336 = 3294665^2 + 844156^2 .

It is a cyclic number.

It is not a de Polignac number, because 11567416814561 - 2³⁰ = 11566343072737 is a prime.

It is a super-3 number, since 3×11567416814561³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11567416814497 and 11567416814506.

It is not a weakly prime, because it can be changed into another prime (11567416844561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5783708407280 + 5783708407281.

It is an arithmetic number, because the mean of its divisors is an integer number (5783708407281).

Almost surely, 2^{11567416814561} is an apocalyptic number.

It is an amenable number.

11567416814561 is a deficient number, since it is larger than the sum of its proper divisors (1).

11567416814561 is an equidigital number, since it uses as much as digits as its factorization.

11567416814561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4838400, while the sum is 56.

The spelling of 11567416814561 in words is "eleven trillion, five hundred sixty-seven billion, four hundred sixteen million, eight hundred fourteen thousand, five hundred sixty-one".