9738843386944 has 315 divisors, whose sum is σ = 23851054604247. Its totient is φ = 3944679830784.

The previous prime is 9738843386933. The next prime is 9738843386977. The reversal of 9738843386944 is 4496833488379.

The square root of 9738843386944 is 3120712.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 23243062767 + ... + 23243063185.

Almost surely, 2^{9738843386944} is an apocalyptic number.

9738843386944 is the 3120712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9738843386944

9738843386944 is an abundant number, since it is smaller than the sum of its proper divisors (14112211217303).

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

9738843386944 is an frugal number, since it uses more digits than its factorization.

9738843386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 447 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 76.

The spelling of 9738843386944 in words is "nine trillion, seven hundred thirty-eight billion, eight hundred forty-three million, three hundred eighty-six thousand, nine hundred forty-four".