6441181184 has 112 divisors (see below), whose sum is σ = 14036954400. Its totient is φ = 2943811584.

The previous prime is 6441181183. The next prime is 6441181237. The reversal of 6441181184 is 4811811446.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (6441181183) 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, 4513079 + ... + 4514505.

It is an arithmetic number, because the mean of its divisors is an integer number (125329950).

Almost surely, 2^6441181184 is an apocalyptic number.

6441181184 is a gapful number since it is divisible by the number (64) 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 6441181184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018477200).

6441181184 is an abundant number, since it is smaller than the sum of its proper divisors (7595773216).

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

6441181184 is a wasteful number, since it uses less digits than its factorization.

6441181184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1477 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 6441181184 is about 80256.9696911116. The cubic root of 6441181184 is about 1860.6092335020.

The spelling of 6441181184 in words is "six billion, four hundred forty-one million, one hundred eighty-one thousand, one hundred eighty-four".