10917099648017 has 2 divisors, whose sum is σ = 10917099648018. Its totient is φ = 10917099648016.

The previous prime is 10917099647989. The next prime is 10917099648073. The reversal of 10917099648017 is 71084699071901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10915649485456 + 1450162561 = 3303884^2 + 38081^2 .

It is a cyclic number.

It is not a de Polignac number, because 10917099648017 - 2⁸ = 10917099647761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10917099648317) 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, 5458549824008 + 5458549824009.

It is an arithmetic number, because the mean of its divisors is an integer number (5458549824009).

Almost surely, 2^{10917099648017} is an apocalyptic number.

It is an amenable number.

10917099648017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10917099648017 is an equidigital number, since it uses as much as digits as its factorization.

10917099648017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6858432, while the sum is 62.

The spelling of 10917099648017 in words is "ten trillion, nine hundred seventeen billion, ninety-nine million, six hundred forty-eight thousand, seventeen".