10641710666417 has 2 divisors, whose sum is σ = 10641710666418. Its totient is φ = 10641710666416.

The previous prime is 10641710666393. The next prime is 10641710666429. The reversal of 10641710666417 is 71466601714601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10492960832656 + 148749833761 = 3239284^2 + 385681^2 .

It is an emirp because it is prime and its reverse (71466601714601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10641710666417 is a prime.

It is a super-2 number, since 2×10641710666417² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10641710666617) 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, 5320855333208 + 5320855333209.

It is an arithmetic number, because the mean of its divisors is an integer number (5320855333209).

Almost surely, 2^{10641710666417} is an apocalyptic number.

It is an amenable number.

10641710666417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10641710666417 is an equidigital number, since it uses as much as digits as its factorization.

10641710666417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 10641710666417 in words is "ten trillion, six hundred forty-one billion, seven hundred ten million, six hundred sixty-six thousand, four hundred seventeen".