117181166811667 has 16 divisors (see below), whose sum is σ = 149262167370240. Its totient is φ = 89557300418688.

The previous prime is 117181166811641. The next prime is 117181166811671. The reversal of 117181166811667 is 766118661181711.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-117181166811667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117181166811767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25913568463 + ... + 25913572984.

It is an arithmetic number, because the mean of its divisors is an integer number (9328885460640).

Almost surely, 2^{117181166811667} is an apocalyptic number.

117181166811667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

117181166811667 is a deficient number, since it is larger than the sum of its proper divisors (32081000558573).

117181166811667 is a wasteful number, since it uses less digits than its factorization.

117181166811667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51827141490.

The product of its digits is 4064256, while the sum is 61.

The spelling of 117181166811667 in words is "one hundred seventeen trillion, one hundred eighty-one billion, one hundred sixty-six million, eight hundred eleven thousand, six hundred sixty-seven".