8463883648 has 64 divisors (see below), whose sum is σ = 18411261120. Its totient is φ = 3843719680.

The previous prime is 8463883639. The next prime is 8463883691.

8463883648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8463883592 and 8463883601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2142411 + ... + 2146357.

It is an arithmetic number, because the mean of its divisors is an integer number (287675955).

Almost surely, 2^8463883648 is an apocalyptic number.

8463883648 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 8463883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205630560).

8463883648 is an abundant number, since it is smaller than the sum of its proper divisors (9947377472).

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

8463883648 is a wasteful number, since it uses less digits than its factorization.

8463883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5483 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The square root of 8463883648 is about 91999.3676500007. The cubic root of 8463883648 is about 2037.9329671575.

The spelling of 8463883648 in words is "eight billion, four hundred sixty-three million, eight hundred eighty-three thousand, six hundred forty-eight".