8468448648 has 128 divisors (see below), whose sum is σ = 23754608640. Its totient is φ = 2493504000.

The previous prime is 8468448623. The next prime is 8468448707.

It is a happy number.

8468448648 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 8468448591 and 8468448600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2931861 + ... + 2934747.

It is an arithmetic number, because the mean of its divisors is an integer number (185582880).

Almost surely, 2^8468448648 is an apocalyptic number.

8468448648 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 8468448648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877304320).

8468448648 is an abundant number, since it is smaller than the sum of its proper divisors (15286159992).

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

8468448648 is a wasteful number, since it uses less digits than its factorization.

8468448648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3215 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The square root of 8468448648 is about 92024.1742587240. The cubic root of 8468448648 is about 2038.2992880384.

The spelling of 8468448648 in words is "eight billion, four hundred sixty-eight million, four hundred forty-eight thousand, six hundred forty-eight".