9138118319 has 24 divisors (see below), whose sum is σ = 10283787696. Its totient is φ = 8111664000.

The previous prime is 9138118309. The next prime is 9138118337.

9138118319 is nontrivially palindromic in base 10.

9138118319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9138118319 - 2²⁸ = 8869682863 is a prime.

It is a super-2 number, since 2×9138118319² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9138118319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9138118309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887012 + ... + 897254.

It is an arithmetic number, because the mean of its divisors is an integer number (428491154).

Almost surely, 2^9138118319 is an apocalyptic number.

9138118319 is a deficient number, since it is larger than the sum of its proper divisors (1145669377).

9138118319 is a wasteful number, since it uses less digits than its factorization.

9138118319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10428 counting only the distinct ones).

The product of its digits is 46656, while the sum is 44.

The square root of 9138118319 is about 95593.5056319204. The cubic root of 9138118319 is about 2090.6705050900.

The spelling of 9138118319 in words is "nine billion, one hundred thirty-eight million, one hundred eighteen thousand, three hundred nineteen".