9738287908129 has 27 divisors (see below), whose sum is σ = 10758106085041. Its totient is φ = 8808520129640.

The previous prime is 9738287908099. The next prime is 9738287908147. The reversal of 9738287908129 is 9218097828379.

The square root of 9738287908129 is 3120623.

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

It is not a de Polignac number, because 9738287908129 - 2⁹ = 9738287907617 is a prime.

It is a super-2 number, since 2×9738287908129² (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 (9738287908199) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8204117274 + ... + 8204118460.

Almost surely, 2^{9738287908129} is an apocalyptic number.

9738287908129 is the 3120623-rd square number.

9738287908129 is the 1560312-nd centered octagonal number.

It is an amenable number.

9738287908129 is a deficient number, since it is larger than the sum of its proper divisors (1019818176912).

9738287908129 is an frugal number, since it uses more digits than its factorization.

9738287908129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 73.

The spelling of 9738287908129 in words is "nine trillion, seven hundred thirty-eight billion, two hundred eighty-seven million, nine hundred eight thousand, one hundred twenty-nine".