8448888448 has 512 divisors, whose sum is σ = 24478433280. Its totient is φ = 2797977600.

The previous prime is 8448888443. The next prime is 8448888467.

8448888448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8448888448.

It is not an unprimeable number, because it can be changed into a prime (8448888443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138506338 + ... + 138506398.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 2^8448888448 is an apocalyptic number.

8448888448 is a gapful number since it is divisible by the number (88) 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 8448888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239216640).

8448888448 is an abundant number, since it is smaller than the sum of its proper divisors (16029544832).

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

8448888448 is a wasteful number, since it uses less digits than its factorization.

8448888448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its digits is 67108864, while the sum is 64.

The square root of 8448888448 is about 91917.8353095850. The cubic root of 8448888448 is about 2036.7287415159.

The spelling of 8448888448 in words is "eight billion, four hundred forty-eight million, eight hundred eighty-eight thousand, four hundred forty-eight".