116056517117 has 12 divisors (see below), whose sum is σ = 122568850620. Its totient is φ = 109874126592.

The previous prime is 116056517089. The next prime is 116056517131. The reversal of 116056517117 is 711715650611.

It can be written as a sum of positive squares in 2 ways, for example, as 97580639641 + 18475877476 = 312379^2 + 135926^2 .

It is not a de Polignac number, because 116056517117 - 2¹⁴ = 116056500733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116056517177) 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, 431309 + ... + 646637.

It is an arithmetic number, because the mean of its divisors is an integer number (10214070885).

Almost surely, 2^116056517117 is an apocalyptic number.

It is an amenable number.

116056517117 is a deficient number, since it is larger than the sum of its proper divisors (6512333503).

116056517117 is a wasteful number, since it uses less digits than its factorization.

116056517117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216860 (or 216841 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 41.

The spelling of 116056517117 in words is "one hundred sixteen billion, fifty-six million, five hundred seventeen thousand, one hundred seventeen".