9338416128 has 132 divisors (see below), whose sum is σ = 27963903240. Its totient is φ = 3112722432.

The previous prime is 9338416117. The next prime is 9338416133. The reversal of 9338416128 is 8216148339.

9338416128 is a `hidden beast` number, since 93 + 384 + 161 + 28 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 11 ways as a sum of consecutive naturals, for example, 230068 + ... + 267596.

Almost surely, 2^9338416128 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 9338416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981951620).

9338416128 is an abundant number, since it is smaller than the sum of its proper divisors (18625487112).

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

9338416128 is an equidigital number, since it uses as much as digits as its factorization.

9338416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37564 (or 37534 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9338416128 is about 96635.4806890306. The cubic root of 9338416128 is about 2105.8353293701.

The spelling of 9338416128 in words is "nine billion, three hundred thirty-eight million, four hundred sixteen thousand, one hundred twenty-eight".