8446666448 has 80 divisors (see below), whose sum is σ = 18847573440. Its totient is φ = 3636800640.

The previous prime is 8446666433. The next prime is 8446666451.

8446666448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8446666393 and 8446666402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203686 + ... + 1210682.

It is an arithmetic number, because the mean of its divisors is an integer number (235594668).

Almost surely, 2^8446666448 is an apocalyptic number.

8446666448 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 8446666448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423786720).

8446666448 is an abundant number, since it is smaller than the sum of its proper divisors (10400906992).

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

8446666448 is a wasteful number, since it uses less digits than its factorization.

8446666448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7029 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The square root of 8446666448 is about 91905.7476331051. The cubic root of 8446666448 is about 2036.5501772750.

The spelling of 8446666448 in words is "eight billion, four hundred forty-six million, six hundred sixty-six thousand, four hundred forty-eight".