9837738891289 has 15 divisors (see below), whose sum is σ = 10453553405083. Its totient is φ = 9258195235648.

The previous prime is 9837738891157. The next prime is 9837738891341. The reversal of 9837738891289 is 9821988377389.

The square root of 9837738891289 is 3136517.

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

It can be written as a sum of positive squares in 7 ways, for example, as 237086217225 + 9600652674064 = 486915^2 + 3098492^2 .

It is not a de Polignac number, because 9837738891289 - 2³¹ = 9835591407641 is a prime.

It is a super-2 number, since 2×9837738891289² (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 (9837738891089) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 906447987 + ... + 906458839.

Almost surely, 2^{9837738891289} is an apocalyptic number.

9837738891289 is the 3136517-th square number.

9837738891289 is the 1568259-th centered octagonal number.

It is an amenable number.

9837738891289 is a deficient number, since it is larger than the sum of its proper divisors (615814513794).

9837738891289 is an frugal number, since it uses more digits than its factorization.

9837738891289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774 (or 10870 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 82.

The spelling of 9837738891289 in words is "nine trillion, eight hundred thirty-seven billion, seven hundred thirty-eight million, eight hundred ninety-one thousand, two hundred eighty-nine".