8468558648 has 96 divisors (see below), whose sum is σ = 17767757280. Its totient is φ = 3780691200.

The previous prime is 8468558633. The next prime is 8468558699.

8468558648 is nontrivially palindromic in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15653258 + ... + 15653798.

It is an arithmetic number, because the mean of its divisors is an integer number (185080805).

Almost surely, 2^8468558648 is an apocalyptic number.

8468558648 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 8468558648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883878640).

8468558648 is an abundant number, since it is smaller than the sum of its proper divisors (9299198632).

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

8468558648 is a wasteful number, since it uses less digits than its factorization.

8468558648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 62.

The square root of 8468558648 is about 92024.7719258244. The cubic root of 8468558648 is about 2038.3081134231.

The spelling of 8468558648 in words is "eight billion, four hundred sixty-eight million, five hundred fifty-eight thousand, six hundred forty-eight".