9845903628125 has 18 divisors (see below), whose sum is σ = 12306811114458. Its totient is φ = 7876582575000.

The previous prime is 9845903628103. The next prime is 9845903628133. The reversal of 9845903628125 is 5218263095489.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4549595148484 + 5296308479641 = 2132978^2 + 2301371^2 .

It is not a de Polignac number, because 9845903628125 - 2²⁸ = 9845635192669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175381310 + ... + 175437440.

It is an arithmetic number, because the mean of its divisors is an integer number (683711728581).

Almost surely, 2^{9845903628125} is an apocalyptic number.

It is an amenable number.

9845903628125 is a deficient number, since it is larger than the sum of its proper divisors (2460907486333).

9845903628125 is an frugal number, since it uses more digits than its factorization.

9845903628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112287 (or 56136 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 9845903628125 in words is "nine trillion, eight hundred forty-five billion, nine hundred three million, six hundred twenty-eight thousand, one hundred twenty-five".