9982116864 has 176 divisors, whose sum is σ = 29742091200. Its totient is φ = 3307143168.

The previous prime is 9982116857. The next prime is 9982116869. The reversal of 9982116864 is 4686112899.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9982116864.

It is not an unprimeable number, because it can be changed into a prime (9982116869) 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, 4947984 + ... + 4950000.

Almost surely, 2^9982116864 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 9982116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871045600).

9982116864 is an abundant number, since it is smaller than the sum of its proper divisors (19759974336).

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

9982116864 is a wasteful number, since it uses less digits than its factorization.

9982116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2201 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 9982116864 is about 99910.5443083962. The cubic root of 9982116864 is about 2153.1496554267.

The spelling of 9982116864 in words is "nine billion, nine hundred eighty-two million, one hundred sixteen thousand, eight hundred sixty-four".