8001808224 has 192 divisors, whose sum is σ = 21954094848. Its totient is φ = 2550528000.

The previous prime is 8001808207. The next prime is 8001808247. The reversal of 8001808224 is 4228081008.

It is a congruent number.

It is an unprimeable number.

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, 49090767 + ... + 49090929.

It is an arithmetic number, because the mean of its divisors is an integer number (114344244).

Almost surely, 2^8001808224 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 8001808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977047424).

8001808224 is an abundant number, since it is smaller than the sum of its proper divisors (13952286624).

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

8001808224 is a wasteful number, since it uses less digits than its factorization.

8001808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 8001808224 is about 89452.8268083240. The cubic root of 8001808224 is about 2000.1506739817.

The spelling of 8001808224 in words is "eight billion, one million, eight hundred eight thousand, two hundred twenty-four".