85238645404117 has 2 divisors, whose sum is σ = 85238645404118. Its totient is φ = 85238645404116.

The previous prime is 85238645404061. The next prime is 85238645404123. The reversal of 85238645404117 is 71140454683258.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48878541359761 + 36360104044356 = 6991319^2 + 6029934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85238645404117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85238645404147) 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, 42619322702058 + 42619322702059.

It is an arithmetic number, because the mean of its divisors is an integer number (42619322702059).

Almost surely, 2^{85238645404117} is an apocalyptic number.

It is an amenable number.

85238645404117 is a deficient number, since it is larger than the sum of its proper divisors (1).

85238645404117 is an equidigital number, since it uses as much as digits as its factorization.

85238645404117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 85238645404117 in words is "eighty-five trillion, two hundred thirty-eight billion, six hundred forty-five million, four hundred four thousand, one hundred seventeen".