6116446116 has 144 divisors (see below), whose sum is σ = 18034144128. Its totient is φ = 1727308800.

The previous prime is 6116446073. The next prime is 6116446117.

6116446116 is a `hidden beast` number, since 6 + 1 + 1 + 644 + 6 + 1 + 1 + 6 = 666.

6116446116 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (6116446117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688986 + ... + 697806.

It is an arithmetic number, because the mean of its divisors is an integer number (125237112).

Almost surely, 2^6116446116 is an apocalyptic number.

6116446116 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 6116446116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017072064).

6116446116 is an abundant number, since it is smaller than the sum of its proper divisors (11917698012).

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

6116446116 is a wasteful number, since it uses less digits than its factorization.

6116446116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8957 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6116446116 is about 78207.7113589191. The cubic root of 6116446116 is about 1828.8007227891.

The spelling of 6116446116 in words is "six billion, one hundred sixteen million, four hundred forty-six thousand, one hundred sixteen".