71117700417 has 12 divisors (see below), whose sum is σ = 102882889044. Its totient is φ = 47339190240.

The previous prime is 71117700383. The next prime is 71117700449. The reversal of 71117700417 is 71400771117.

71117700417 is a `hidden beast` number, since 71 + 1 + 177 + 0 + 0 + 417 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46128730176 + 24988970241 = 214776^2 + 158079^2 .

It is not a de Polignac number, because 71117700417 - 2²⁰ = 71116651841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71117700317) 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 in 11 ways as a sum of consecutive naturals, for example, 6044634 + ... + 6056387.

It is an arithmetic number, because the mean of its divisors is an integer number (8573574087).

Almost surely, 2^71117700417 is an apocalyptic number.

It is an amenable number.

71117700417 is a deficient number, since it is larger than the sum of its proper divisors (31765188627).

71117700417 is a wasteful number, since it uses less digits than its factorization.

71117700417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101680 (or 12101677 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

The spelling of 71117700417 in words is "seventy-one billion, one hundred seventeen million, seven hundred thousand, four hundred seventeen".