8408008048 has 80 divisors (see below), whose sum is σ = 18488995200. Its totient is φ = 3669021440.

The previous prime is 8408008043. The next prime is 8408008061.

8408008048 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8408008048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8408008043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909015 + ... + 918217.

It is an arithmetic number, because the mean of its divisors is an integer number (231112440).

Almost surely, 2^8408008048 is an apocalyptic number.

8408008048 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 8408008048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244497600).

8408008048 is an abundant number, since it is smaller than the sum of its proper divisors (10080987152).

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

8408008048 is a wasteful number, since it uses less digits than its factorization.

8408008048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8408008048 is about 91695.1909753178. The cubic root of 8408008048 is about 2033.4384886822.

It can be divided in two parts, 840800 and 8048, that added together give a palindrome (848848).

The spelling of 8408008048 in words is "eight billion, four hundred eight million, eight thousand, forty-eight".