117184868438417 has 24 divisors (see below), whose sum is σ = 134435377642680. Its totient is φ = 101748092759040.

The previous prime is 117184868438389. The next prime is 117184868438479. The reversal of 117184868438417 is 714834868481711.

It is a Cunningham number, because it is equal to 10825196²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 58102140370576 + 59082728067841 = 7622476^2 + 7686529^2 .

It is not a de Polignac number, because 117184868438417 - 2⁸ = 117184868438161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117184868435417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7023434 + ... + 16843347.

It is an arithmetic number, because the mean of its divisors is an integer number (5601474068445).

Almost surely, 2^{117184868438417} is an apocalyptic number.

117184868438417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

117184868438417 is a deficient number, since it is larger than the sum of its proper divisors (17250509204263).

117184868438417 is a wasteful number, since it uses less digits than its factorization.

117184868438417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868533 (or 23868520 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 71.

The spelling of 117184868438417 in words is "one hundred seventeen trillion, one hundred eighty-four billion, eight hundred sixty-eight million, four hundred thirty-eight thousand, four hundred seventeen".