4464184816 has 160 divisors (see below), whose sum is σ = 11219281920. Its totient is φ = 1672399872.

The previous prime is 4464184811. The next prime is 4464184817. The reversal of 4464184816 is 6184814644.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464184811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3649581 + ... + 3650803.

It is an arithmetic number, because the mean of its divisors is an integer number (70120512).

Almost surely, 2^4464184816 is an apocalyptic number.

4464184816 is a gapful number since it is divisible by the number (46) 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 4464184816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

4464184816 is an abundant number, since it is smaller than the sum of its proper divisors (6755097104).

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

4464184816 is a wasteful number, since it uses less digits than its factorization.

4464184816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 4464184816 is about 66814.5554202077. Note that the first 3 decimals coincide. The cubic root of 4464184816 is about 1646.5719849909.

The spelling of 4464184816 in words is "four billion, four hundred sixty-four million, one hundred eighty-four thousand, eight hundred sixteen".