4168182216 has 128 divisors (see below), whose sum is σ = 11802101760. Its totient is φ = 1215724800.

The previous prime is 4168182203. The next prime is 4168182217. The reversal of 4168182216 is 6122818614.

4168182216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (4168182217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754135 + ... + 759641.

It is an arithmetic number, because the mean of its divisors is an integer number (92203920).

Almost surely, 2^4168182216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168182216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901050880).

4168182216 is an abundant number, since it is smaller than the sum of its proper divisors (7633919544).

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

4168182216 is a wasteful number, since it uses less digits than its factorization.

4168182216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5631 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 4168182216 is about 64561.4607641432. The cubic root of 4168182216 is about 1609.3440502653.

The spelling of 4168182216 in words is "four billion, one hundred sixty-eight million, one hundred eighty-two thousand, two hundred sixteen".