8008484808000 has 224 divisors, whose sum is σ = 26838709043328. Its totient is φ = 2103720960000.

The previous prime is 8008484807971. The next prime is 8008484808007. The reversal of 8008484808000 is 8084848008.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008484808007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 882201 + ... + 4098200.

It is an arithmetic number, because the mean of its divisors is an integer number (119815665372).

Almost surely, 2^{8008484808000} is an apocalyptic number.

8008484808000 is a gapful number since it is divisible by the number (80) 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 8008484808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419354521664).

8008484808000 is an abundant number, since it is smaller than the sum of its proper divisors (18830224235328).

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

8008484808000 is a wasteful number, since it uses less digits than its factorization.

8008484808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980498 (or 4980478 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 8008484808000 in words is "eight trillion, eight billion, four hundred eighty-four million, eight hundred eight thousand".