8221013808 has 120 divisors (see below), whose sum is σ = 24786627840. Its totient is φ = 2341100160.

The previous prime is 8221013791. The next prime is 8221013821. The reversal of 8221013808 is 8083101228.

It is a super-3 number, since 3×8221013808³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725853 + ... + 737091.

It is an arithmetic number, because the mean of its divisors is an integer number (206555232).

Almost surely, 2^8221013808 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 8221013808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393313920).

8221013808 is an abundant number, since it is smaller than the sum of its proper divisors (16565614032).

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

8221013808 is a wasteful number, since it uses less digits than its factorization.

8221013808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8221013808 is about 90669.8064848492. The cubic root of 8221013808 is about 2018.2507655161.

The spelling of 8221013808 in words is "eight billion, two hundred twenty-one million, thirteen thousand, eight hundred eight".