8121883008 has 128 divisors (see below), whose sum is σ = 22932080640. Its totient is φ = 2538086400.

The previous prime is 8121883001. The next prime is 8121883009. The reversal of 8121883008 is 8003881218.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121883001) 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, 1766793 + ... + 1771383.

It is an arithmetic number, because the mean of its divisors is an integer number (179156880).

Almost surely, 2^8121883008 is an apocalyptic number.

8121883008 is the 52032-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8121883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466040320).

8121883008 is an abundant number, since it is smaller than the sum of its proper divisors (14810197632).

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

8121883008 is a wasteful number, since it uses less digits than its factorization.

8121883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 8121883008 is about 90121.4902673053. The cubic root of 8121883008 is about 2010.1057680538.

The spelling of 8121883008 in words is "eight billion, one hundred twenty-one million, eight hundred eighty-three thousand, eight".