9191919190900 has 72 divisors (see below), whose sum is σ = 20146417796736. Its totient is φ = 3639918864000.

The previous prime is 9191919190847. The next prime is 9191919190907. The reversal of 9191919190900 is 90919191919.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9191919190907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89707497 + ... + 89809903.

It is an arithmetic number, because the mean of its divisors is an integer number (279811358288).

Almost surely, 2^{9191919190900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9191919190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073208898368).

9191919190900 is an abundant number, since it is smaller than the sum of its proper divisors (10954498605836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9191919190900 is a wasteful number, since it uses less digits than its factorization.

9191919190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111409 (or 111402 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 58.

The spelling of 9191919190900 in words is "nine trillion, one hundred ninety-one billion, nine hundred nineteen million, one hundred ninety thousand, nine hundred".