4165884181 has 8 divisors (see below), whose sum is σ = 4174563384. Its totient is φ = 4157215680.

The previous prime is 4165884049. The next prime is 4165884209. The reversal of 4165884181 is 1814885614.

4165884181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 782600625 + 3383283556 = 27975^2 + 58166^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4165884181 - 2²⁷ = 4031666453 is a prime.

It is a super-2 number, since 2×4165884181² = 34709182019012081522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165885181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518471 + ... + 1521211.

It is an arithmetic number, because the mean of its divisors is an integer number (521820423).

Almost surely, 2^4165884181 is an apocalyptic number.

It is an amenable number.

4165884181 is a deficient number, since it is larger than the sum of its proper divisors (8679203).

4165884181 is a wasteful number, since it uses less digits than its factorization.

4165884181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351.

The product of its digits is 245760, while the sum is 46.

The square root of 4165884181 is about 64543.6610442885. The cubic root of 4165884181 is about 1609.0482371558.

The spelling of 4165884181 in words is "four billion, one hundred sixty-five million, eight hundred eighty-four thousand, one hundred eighty-one".