9438007243392 has 768 divisors, whose sum is σ = 34251381964800. Its totient is φ = 2427865767936.

The previous prime is 9438007243321. The next prime is 9438007243397. The reversal of 9438007243392 is 2933427008349.

9438007243392 is a `hidden beast` number, since 9 + 4 + 3 + 8 + 0 + 0 + 7 + 243 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (9438007243397) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5675289153 + ... + 5675290815.

It is an arithmetic number, because the mean of its divisors is an integer number (44598153600).

Almost surely, 2^{9438007243392} 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 9438007243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125690982400).

9438007243392 is an abundant number, since it is smaller than the sum of its proper divisors (24813374721408).

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

9438007243392 is a wasteful number, since it uses less digits than its factorization.

9438007243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 9438007243392 in words is "nine trillion, four hundred thirty-eight billion, seven million, two hundred forty-three thousand, three hundred ninety-two".