6114334116 has 48 divisors (see below), whose sum is σ = 15602707008. Its totient is φ = 1848192000.

The previous prime is 6114334111. The next prime is 6114334117.

6114334116 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6114334111) 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, 4825 + ... + 110688.

It is an arithmetic number, because the mean of its divisors is an integer number (325056396).

Almost surely, 2^6114334116 is an apocalyptic number.

6114334116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6114334116 is an abundant number, since it is smaller than the sum of its proper divisors (9488372892).

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

6114334116 is a wasteful number, since it uses less digits than its factorization.

6114334116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115932 (or 115930 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 6114334116 is about 78194.2076882936. The cubic root of 6114334116 is about 1828.5902044749.

It can be divided in two parts, 61143 and 34116, that added together give a palindrome (95259).

The spelling of 6114334116 in words is "six billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred sixteen".