9817936128 has 1080 divisors, whose sum is σ = 40525521344. Its totient is φ = 2299207680.

The previous prime is 9817936103. The next prime is 9817936129. The reversal of 9817936128 is 8216397189.

9817936128 is a `hidden beast` number, since 9 + 8 + 17 + 9 + 3 + 612 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (9817936129) 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 119 ways as a sum of consecutive naturals, for example, 228324075 + ... + 228324117.

Almost surely, 2^9817936128 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 9817936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20262760672).

9817936128 is an abundant number, since it is smaller than the sum of its proper divisors (30707585216).

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

9817936128 is a wasteful number, since it uses less digits than its factorization.

9817936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 9817936128 is about 99085.4990803397. The cubic root of 9817936128 is about 2141.2797050851.

The spelling of 9817936128 in words is "nine billion, eight hundred seventeen million, nine hundred thirty-six thousand, one hundred twenty-eight".