8019808344 has 192 divisors, whose sum is σ = 24574492800. Its totient is φ = 2347564032.

The previous prime is 8019808297. The next prime is 8019808417. The reversal of 8019808344 is 4438089108.

It is a self number, because there is not a number n which added to its sum of digits gives 8019808344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555579 + ... + 1560725.

It is an arithmetic number, because the mean of its divisors is an integer number (127992150).

Almost surely, 2^8019808344 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 8019808344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287246400).

8019808344 is an abundant number, since it is smaller than the sum of its proper divisors (16554684456).

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

8019808344 is a wasteful number, since it uses less digits than its factorization.

8019808344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8019808344 is about 89553.3826496800. The cubic root of 8019808344 is about 2001.6493348068.

The spelling of 8019808344 in words is "eight billion, nineteen million, eight hundred eight thousand, three hundred forty-four".