83768805117 has 12 divisors (see below), whose sum is σ = 121613597820. Its totient is φ = 55562387328.

The previous prime is 83768805097. The next prime is 83768805191. The reversal of 83768805117 is 71150886738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81881250201 + 1887554916 = 286149^2 + 43446^2 .

It is not a de Polignac number, because 83768805117 - 2⁶ = 83768805053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83768805017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23621692 + ... + 23625237.

It is an arithmetic number, because the mean of its divisors is an integer number (10134466485).

Almost surely, 2^83768805117 is an apocalyptic number.

It is an amenable number.

83768805117 is a deficient number, since it is larger than the sum of its proper divisors (37844792703).

83768805117 is a wasteful number, since it uses less digits than its factorization.

83768805117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47247132 (or 47247129 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 83768805117 in words is "eighty-three billion, seven hundred sixty-eight million, eight hundred five thousand, one hundred seventeen".