8138448318 has 384 divisors, whose sum is σ = 24076362240. Its totient is φ = 1796014080.

The previous prime is 8138448287. The next prime is 8138448323.

8138448318 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42168030 + ... + 42168222.

It is an arithmetic number, because the mean of its divisors is an integer number (62698860).

Almost surely, 2^8138448318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8138448318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038181120).

8138448318 is an abundant number, since it is smaller than the sum of its proper divisors (15937913922).

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

8138448318 is a wasteful number, since it uses less digits than its factorization.

8138448318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 8138448318 is about 90213.3488902834. The cubic root of 8138448318 is about 2011.4714371012.

The spelling of 8138448318 in words is "eight billion, one hundred thirty-eight million, four hundred forty-eight thousand, three hundred eighteen".