10938974319 has 64 divisors (see below), whose sum is σ = 20633625600. Its totient is φ = 5571006336.

The previous prime is 10938974311. The next prime is 10938974353. The reversal of 10938974319 is 91347983901.

It is a happy number.

It is not a de Polignac number, because 10938974319 - 2³ = 10938974311 is a prime.

It is a super-2 number, since 2×10938974319² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938974311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5509 + ... + 148014.

It is an arithmetic number, because the mean of its divisors is an integer number (322400400).

Almost surely, 2^10938974319 is an apocalyptic number.

10938974319 is a deficient number, since it is larger than the sum of its proper divisors (9694651281).

10938974319 is a wasteful number, since it uses less digits than its factorization.

10938974319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153581 (or 153575 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 10938974319 in words is "ten billion, nine hundred thirty-eight million, nine hundred seventy-four thousand, three hundred nineteen".