6116116116 has 96 divisors (see below), whose sum is σ = 16315084800. Its totient is φ = 1765160320.

The previous prime is 6116116109. The next prime is 6116116133.

6116116116 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721390 + ... + 729818.

It is an arithmetic number, because the mean of its divisors is an integer number (169948800).

Almost surely, 2^6116116116 is an apocalyptic number.

6116116116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6116116116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157542400).

6116116116 is an abundant number, since it is smaller than the sum of its proper divisors (10198968684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6116116116 is a wasteful number, since it uses less digits than its factorization.

6116116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8707 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 6116116116 is about 78205.6015640824. The cubic root of 6116116116 is about 1828.7678324973.

It can be divided in two parts, 61161 and 16116, that added together give a palindrome (77277).

The spelling of 6116116116 in words is "six billion, one hundred sixteen million, one hundred sixteen thousand, one hundred sixteen".