8281322208 has 144 divisors (see below), whose sum is σ = 23978747520. Its totient is φ = 2710464768.

The previous prime is 8281322207. The next prime is 8281322209. The reversal of 8281322208 is 8022231828.

It is an interprime number because it is at equal distance from previous prime (8281322207) and next prime (8281322209).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281322207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9010773 + ... + 9011691.

It is an arithmetic number, because the mean of its divisors is an integer number (166519080).

Almost surely, 2^8281322208 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 8281322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989373760).

8281322208 is an abundant number, since it is smaller than the sum of its proper divisors (15697425312).

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

8281322208 is a wasteful number, since it uses less digits than its factorization.

8281322208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8281322208 is about 91001.7703564057. The cubic root of 8281322208 is about 2023.1739639333.

The spelling of 8281322208 in words is "eight billion, two hundred eighty-one million, three hundred twenty-two thousand, two hundred eight".