9135824112 has 360 divisors, whose sum is σ = 29303374464. Its totient is φ = 2749811328.

The previous prime is 9135824111. The next prime is 9135824119. The reversal of 9135824112 is 2114285319.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9135824111) 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 71 ways as a sum of consecutive naturals, for example, 32281923 + ... + 32282205.

Almost surely, 2^9135824112 is an apocalyptic number.

9135824112 is a gapful number since it is divisible by the number (92) 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 9135824112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651687232).

9135824112 is an abundant number, since it is smaller than the sum of its proper divisors (20167550352).

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

9135824112 is a wasteful number, since it uses less digits than its factorization.

9135824112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 330 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 9135824112 is about 95581.5050728958. The cubic root of 9135824112 is about 2090.4955298857.

The spelling of 9135824112 in words is "nine billion, one hundred thirty-five million, eight hundred twenty-four thousand, one hundred twelve".