8004086334804 has 48 divisors (see below), whose sum is σ = 21344717310336. Its totient is φ = 2286829622400.

The previous prime is 8004086334791. The next prime is 8004086334821. The reversal of 8004086334804 is 4084336804008.

It is a super-2 number, since 2×8004086334804² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2693374 + ... + 4823114.

It is an arithmetic number, because the mean of its divisors is an integer number (444681610632).

Almost surely, 2^{8004086334804} is an apocalyptic number.

8004086334804 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8004086334804 is an abundant number, since it is smaller than the sum of its proper divisors (13340630975532).

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

8004086334804 is a wasteful number, since it uses less digits than its factorization.

8004086334804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174496 (or 2174494 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 8004086334804 in words is "eight trillion, four billion, eighty-six million, three hundred thirty-four thousand, eight hundred four".