9982845000 has 300 divisors, whose sum is σ = 35164294605. Its totient is φ = 2645136000.

The previous prime is 9982844999. The next prime is 9982845007. The reversal of 9982845000 is 5482899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 2270141316 + 7712703684 = 47646^2 + 87822^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70650.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9982845007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 63584922 + ... + 63585078.

Almost surely, 2^9982845000 is an apocalyptic number.

9982845000 is a gapful number since it is divisible by the number (90) 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 9982845000

9982845000 is an abundant number, since it is smaller than the sum of its proper divisors (25181449605).

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

9982845000 is an equidigital number, since it uses as much as digits as its factorization.

9982845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9982845000 is about 99914.1881816592. The cubic root of 9982845000 is about 2153.2020073036.

The spelling of 9982845000 in words is "nine billion, nine hundred eighty-two million, eight hundred forty-five thousand".