8484888004000 has 192 divisors, whose sum is σ = 21309340695552. Its totient is φ = 3318871296000.

The previous prime is 8484888003989. The next prime is 8484888004031. The reversal of 8484888004000 is 4008884848.

It is a happy number.

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, 224265085 + ... + 224302915.

It is an arithmetic number, because the mean of its divisors is an integer number (110986149456).

Almost surely, 2^{8484888004000} is an apocalyptic number.

8484888004000 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 8484888004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654670347776).

8484888004000 is an abundant number, since it is smaller than the sum of its proper divisors (12824452691552).

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

8484888004000 is a wasteful number, since it uses less digits than its factorization.

8484888004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39096 (or 39078 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 8484888004000 in words is "eight trillion, four hundred eighty-four billion, eight hundred eighty-eight million, four thousand".