9191009100014 has 64 divisors (see below), whose sum is σ = 16498774656000. Its totient is φ = 3836877486624.

The previous prime is 9191009100001. The next prime is 9191009100017. The reversal of 9191009100014 is 4100019001919.

It is a happy number.

It is a super-3 number, since 3×9191009100014³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9191009100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4144439 + ... + 5963085.

It is an arithmetic number, because the mean of its divisors is an integer number (257793354000).

Almost surely, 2^{9191009100014} is an apocalyptic number.

9191009100014 is a deficient number, since it is larger than the sum of its proper divisors (7307765555986).

9191009100014 is a wasteful number, since it uses less digits than its factorization.

9191009100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818862 (or 1818848 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 9191009100014 in words is "nine trillion, one hundred ninety-one billion, nine million, one hundred thousand, fourteen".