711111101111117 has 16 divisors (see below), whose sum is σ = 812826115453440. Its totient is φ = 609428022061488.

The previous prime is 711111101111083. The next prime is 711111101111179.

711111101111117 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 711111101111117 - 2³² = 711106806143821 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 (711111101117117) 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, 1334855234 + ... + 1335387852.

It is an arithmetic number, because the mean of its divisors is an integer number (50801632215840).

Almost surely, 2^{711111101111117} is an apocalyptic number.

It is an amenable number.

711111101111117 is a deficient number, since it is larger than the sum of its proper divisors (101715014342323).

711111101111117 is a wasteful number, since it uses less digits than its factorization.

711111101111117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562240.

The product of its (nonzero) digits is 49, while the sum is 26.

It can be divided in two parts, 71111110 and 1111117, that added together give a palindrome (72222227).

The spelling of 711111101111117 in words is "seven hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred seventeen".