9384856128 has 112 divisors (see below), whose sum is σ = 27626421760. Its totient is φ = 3124127232.

The previous prime is 9384856123. The next prime is 9384856133. The reversal of 9384856128 is 8216584839.

9384856128 is a `hidden beast` number, since 9 + 38 + 48 + 561 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9384856123) and next prime (9384856133).

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

It is not an unprimeable number, because it can be changed into a prime (9384856123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1470801 + ... + 1477167.

It is an arithmetic number, because the mean of its divisors is an integer number (246664480).

Almost surely, 2^9384856128 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 9384856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813210880).

9384856128 is an abundant number, since it is smaller than the sum of its proper divisors (18241565632).

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

9384856128 is a wasteful number, since it uses less digits than its factorization.

9384856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7225 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 9384856128 is about 96875.4671111319. The cubic root of 9384856128 is about 2109.3203360372.

The spelling of 9384856128 in words is "nine billion, three hundred eighty-four million, eight hundred fifty-six thousand, one hundred twenty-eight".