9385845120 has 192 divisors, whose sum is σ = 32601301200. Its totient is φ = 2488160256.

The previous prime is 9385845097. The next prime is 9385845137. The reversal of 9385845120 is 215485839.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 991771 + ... + 1001189.

Almost surely, 2^9385845120 is an apocalyptic number.

9385845120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9385845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300650600).

9385845120 is an abundant number, since it is smaller than the sum of its proper divisors (23215456080).

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

9385845120 is a wasteful number, since it uses less digits than its factorization.

9385845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9617 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9385845120 is about 96880.5714268862. The cubic root of 9385845120 is about 2109.3944280153.

The spelling of 9385845120 in words is "nine billion, three hundred eighty-five million, eight hundred forty-five thousand, one hundred twenty".