9738300390625 has 27 divisors (see below), whose sum is σ = 12175307731083. Its totient is φ = 7789080000000.

The previous prime is 9738300390571. The next prime is 9738300390659. The reversal of 9738300390625 is 5260930038379.

It is a happy number.

The square root of 9738300390625 is 3120625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38912691169 + 9699387699456 = 197263^2 + 3114384^2 .

It is not a de Polignac number, because 9738300390625 - 2⁹ = 9738300390113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1950388129 + ... + 1950393121.

Almost surely, 2^{9738300390625} is an apocalyptic number.

9738300390625 is the 3120625-th square number.

9738300390625 is the 1560313-rd centered octagonal number.

It is an amenable number.

9738300390625 is a deficient number, since it is larger than the sum of its proper divisors (2437007340458).

9738300390625 is an frugal number, since it uses more digits than its factorization.

9738300390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 9738300390625 in words is "nine trillion, seven hundred thirty-eight billion, three hundred million, three hundred ninety thousand, six hundred twenty-five".