8004000048384 has 144 divisors (see below), whose sum is σ = 21886172580608. Its totient is φ = 2594928254976.

The previous prime is 8004000048383. The next prime is 8004000048389. The reversal of 8004000048384 is 4838400004008.

It is a super-2 number, since 2×8004000048384² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004000048383) 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, 78576174 + ... + 78677970.

Almost surely, 2^{8004000048384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004000048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943086290304).

8004000048384 is an abundant number, since it is smaller than the sum of its proper divisors (13882172532224).

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

8004000048384 is a wasteful number, since it uses less digits than its factorization.

8004000048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104620 (or 104606 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 8004000048384 in words is "eight trillion, four billion, forty-eight thousand, three hundred eighty-four".