8984282112 has 528 divisors, whose sum is σ = 30042754560. Its totient is φ = 2565734400.

The previous prime is 8984282003. The next prime is 8984282119. The reversal of 8984282112 is 2112824898.

8984282112 is a `hidden beast` number, since 8 + 9 + 8 + 428 + 211 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8984282119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152275939 + ... + 152275997.

Almost surely, 2^8984282112 is an apocalyptic number.

8984282112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8984282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021377280).

8984282112 is an abundant number, since it is smaller than the sum of its proper divisors (21058472448).

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

8984282112 is a wasteful number, since it uses less digits than its factorization.

8984282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8984282112 is about 94785.4530611106. The cubic root of 8984282112 is about 2078.8722091271.

The spelling of 8984282112 in words is "eight billion, nine hundred eighty-four million, two hundred eighty-two thousand, one hundred twelve".