9243785241600 has 1056 divisors, whose sum is σ = 38370264979200. Its totient is φ = 1950264852480.

The previous prime is 9243785241577. The next prime is 9243785241617. The reversal of 9243785241600 is 61425873429.

It is a super-3 number, since 3×9243785241600³ (a number of 40 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 342437704 + ... + 342464696.

It is an arithmetic number, because the mean of its divisors is an integer number (36335478200).

It is a 1-persistent number, because it is pandigital, but 2⋅9243785241600 = 18487570483200 is not.

Almost surely, 2^{9243785241600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9243785241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185132489600).

9243785241600 is an abundant number, since it is smaller than the sum of its proper divisors (29126479737600).

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

9243785241600 is a wasteful number, since it uses less digits than its factorization.

9243785241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27060 (or 27023 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 9243785241600 in words is "nine trillion, two hundred forty-three billion, seven hundred eighty-five million, two hundred forty-one thousand, six hundred".