9243345600 has 252 divisors, whose sum is σ = 32936816016. Its totient is φ = 2458613760.

The previous prime is 9243345599. The next prime is 9243345607. The reversal of 9243345600 is 65433429.

9243345600 is a `hidden beast` number, since 9 + 2 + 4 + 3 + 3 + 45 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9243345607) 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 35 ways as a sum of consecutive naturals, for example, 9402709 + ... + 9403691.

Almost surely, 2^9243345600 is an apocalyptic number.

9243345600 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 9243345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468408008).

9243345600 is an abundant number, since it is smaller than the sum of its proper divisors (23693470416).

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

9243345600 is a wasteful number, since it uses less digits than its factorization.

9243345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 9243345600 is about 96142.3195060323. The cubic root of 9243345600 is about 2098.6647293886.

The spelling of 9243345600 in words is "nine billion, two hundred forty-three million, three hundred forty-five thousand, six hundred".