4448164784 has 160 divisors (see below), whose sum is σ = 11249280000. Its totient is φ = 1657774080.

The previous prime is 4448164783. The next prime is 4448164789. The reversal of 4448164784 is 4874618444.

It is not an unprimeable number, because it can be changed into a prime (4448164781) 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, 1481717 + ... + 1484715.

It is an arithmetic number, because the mean of its divisors is an integer number (70308000).

Almost surely, 2^4448164784 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 4448164784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

4448164784 is an abundant number, since it is smaller than the sum of its proper divisors (6801115216).

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

4448164784 is a wasteful number, since it uses less digits than its factorization.

4448164784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3085 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 50.

The square root of 4448164784 is about 66694.5633766351. The cubic root of 4448164784 is about 1644.6000122581.

The spelling of 4448164784 in words is "four billion, four hundred forty-eight million, one hundred sixty-four thousand, seven hundred eighty-four".