9809243136 has 528 divisors, whose sum is σ = 36909669888. Its totient is φ = 2433024000.

The previous prime is 9809243131. The next prime is 9809243179. The reversal of 9809243136 is 6313429089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-5 number, since 5×9809243136⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9809243091 and 9809243100.

It is not an unprimeable number, because it can be changed into a prime (9809243131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16321236 + ... + 16321836.

Almost surely, 2^9809243136 is an apocalyptic number.

9809243136 is a gapful number since it is divisible by the number (96) 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 9809243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454834944).

9809243136 is an abundant number, since it is smaller than the sum of its proper divisors (27100426752).

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

9809243136 is a wasteful number, since it uses less digits than its factorization.

9809243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9809243136 is about 99041.6232500255. The cubic root of 9809243136 is about 2140.6475415435.

The spelling of 9809243136 in words is "nine billion, eight hundred nine million, two hundred forty-three thousand, one hundred thirty-six".