9738568766224 has 45 divisors (see below), whose sum is σ = 18933686624181. Its totient is φ = 4852513913280.

The previous prime is 9738568766221. The next prime is 9738568766249. The reversal of 9738568766224 is 4226678658379.

The square root of 9738568766224 is 3120668.

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

It can be written as a sum of positive squares in only one way, i.e., 1770549584400 + 7968019181824 = 1330620^2 + 2822768^2 .

It is a super-2 number, since 2×9738568766224² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9738568766221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4131763254 + ... + 4131765610.

Almost surely, 2^{9738568766224} is an apocalyptic number.

9738568766224 is the 3120668-th square number.

It is an amenable number.

9738568766224 is a deficient number, since it is larger than the sum of its proper divisors (9195117857957).

9738568766224 is an frugal number, since it uses more digits than its factorization.

9738568766224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 2690 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 73.

The spelling of 9738568766224 in words is "nine trillion, seven hundred thirty-eight billion, five hundred sixty-eight million, seven hundred sixty-six thousand, two hundred twenty-four".