9344885760000 has 3360 divisors, whose sum is σ = 42475713920640. Its totient is φ = 2006581248000.

The previous prime is 9344885759999. The next prime is 9344885760013. The reversal of 9344885760000 is 675884439.

9344885760000 is a `hidden beast` number, since 93 + 4 + 488 + 5 + 76 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 252564479982 + ... + 252564480018.

It is an arithmetic number, because the mean of its divisors is an integer number (12641581524).

Almost surely, 2^{9344885760000} is an apocalyptic number.

9344885760000 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 9344885760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21237856960320).

9344885760000 is an abundant number, since it is smaller than the sum of its proper divisors (33130828160640).

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

9344885760000 is an frugal number, since it uses more digits than its factorization.

9344885760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9344885760000 in words is "nine trillion, three hundred forty-four billion, eight hundred eighty-five million, seven hundred sixty thousand".