9946128384 has 168 divisors, whose sum is σ = 28890175392. Its totient is φ = 3297116160.

The previous prime is 9946128337. The next prime is 9946128469. The reversal of 9946128384 is 4838216499.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9946128384.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23076649 + ... + 23077079.

Almost surely, 2^9946128384 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 9946128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445087696).

9946128384 is an abundant number, since it is smaller than the sum of its proper divisors (18944047008).

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

9946128384 is a wasteful number, since it uses less digits than its factorization.

9946128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 749 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9946128384 is about 99730.2781706739. The cubic root of 9946128384 is about 2150.5589593377.

The spelling of 9946128384 in words is "nine billion, nine hundred forty-six million, one hundred twenty-eight thousand, three hundred eighty-four".