9091158340320 has 1728 divisors, whose sum is σ = 38420661726720. Its totient is φ = 2023351529472.

The previous prime is 9091158340307. The next prime is 9091158340349. The reversal of 9091158340320 is 230438511909.

It is a happy number.

9091158340320 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 1 + 583 + 40 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18073873189 + ... + 18073873691.

It is an arithmetic number, because the mean of its divisors is an integer number (22234179240).

Almost surely, 2^{9091158340320} is an apocalyptic number.

9091158340320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9091158340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210330863360).

9091158340320 is an abundant number, since it is smaller than the sum of its proper divisors (29329503386400).

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

9091158340320 is a wasteful number, since it uses less digits than its factorization.

9091158340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9091158340320 in words is "nine trillion, ninety-one billion, one hundred fifty-eight million, three hundred forty thousand, three hundred twenty".