9411648120 has 512 divisors, whose sum is σ = 38564812800. Its totient is φ = 1992646656.

The previous prime is 9411648107. The next prime is 9411648131. The reversal of 9411648120 is 218461149.

9411648120 is a `hidden beast` number, since 9 + 4 + 1 + 1 + 648 + 1 + 2 + 0 = 666.

9411648120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8610294 + ... + 8611386.

It is an arithmetic number, because the mean of its divisors is an integer number (75321900).

Almost surely, 2^9411648120 is an apocalyptic number.

9411648120 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 9411648120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282406400).

9411648120 is an abundant number, since it is smaller than the sum of its proper divisors (29153164680).

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

9411648120 is a wasteful number, since it uses less digits than its factorization.

9411648120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9411648120 is about 97013.6491427882. The cubic root of 9411648120 is about 2111.3256660444.

The spelling of 9411648120 in words is "nine billion, four hundred eleven million, six hundred forty-eight thousand, one hundred twenty".