4166116614 has 96 divisors (see below), whose sum is σ = 10048147200. Its totient is φ = 1236847680.

The previous prime is 4166116609. The next prime is 4166116637.

4166116614 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875692 + ... + 5876400.

It is an arithmetic number, because the mean of its divisors is an integer number (104668200).

Almost surely, 2^4166116614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166116614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024073600).

4166116614 is an abundant number, since it is smaller than the sum of its proper divisors (5882030586).

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

4166116614 is a wasteful number, since it uses less digits than its factorization.

4166116614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1287 counting only the distinct ones).

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

The square root of 4166116614 is about 64545.4616065297. The cubic root of 4166116614 is about 1609.0781618918.

The spelling of 4166116614 in words is "four billion, one hundred sixty-six million, one hundred sixteen thousand, six hundred fourteen".