9843814656 has 405 divisors, whose sum is σ = 32395053999. Its totient is φ = 2971717632.

The previous prime is 9843814637. The next prime is 9843814661. The reversal of 9843814656 is 6564183489.

The square root of 9843814656 is 99216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 255488256 + 9588326400 = 15984^2 + 97920^2 .

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

Its product of digits (4976640) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 185732326 + ... + 185732378.

Almost surely, 2^9843814656 is an apocalyptic number.

9843814656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9843814656 is the 99216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9843814656

9843814656 is an abundant number, since it is smaller than the sum of its proper divisors (22551239343).

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

9843814656 is an equidigital number, since it uses as much as digits as its factorization.

9843814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 71 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The cubic root of 9843814656 is about 2143.1594128114.

The spelling of 9843814656 in words is "nine billion, eight hundred forty-three million, eight hundred fourteen thousand, six hundred fifty-six".