9348112800 has 648 divisors, whose sum is σ = 37132021836. Its totient is φ = 2284277760.

The previous prime is 9348112783. The next prime is 9348112819. The reversal of 9348112800 is 82118439.

9348112800 is a `hidden beast` number, since 93 + 481 + 12 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2087027856 + 7261084944 = 45684^2 + 85212^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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

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 107 ways as a sum of consecutive naturals, for example, 68234332 + ... + 68234468.

Almost surely, 2^9348112800 is an apocalyptic number.

9348112800 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 9348112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566010918).

9348112800 is an abundant number, since it is smaller than the sum of its proper divisors (27783909036).

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

9348112800 is a wasteful number, since it uses less digits than its factorization.

9348112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

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

The square root of 9348112800 is about 96685.6390577215. The cubic root of 9348112800 is about 2106.5639515338.

The spelling of 9348112800 in words is "nine billion, three hundred forty-eight million, one hundred twelve thousand, eight hundred".