91162335116160 has 1280 divisors, whose sum is σ = 409831967001600. Its totient is φ = 18758827376640.

The previous prime is 91162335116137. The next prime is 91162335116197. The reversal of 91162335116160 is 6161153326119.

91162335116160 is a `hidden beast` number, since 9 + 1 + 1 + 6 + 23 + 3 + 5 + 1 + 1 + 616 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 411032176 + ... + 411253904.

It is an arithmetic number, because the mean of its divisors is an integer number (320181224220).

Almost surely, 2^{91162335116160} is an apocalyptic number.

91162335116160 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 91162335116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204915983500800).

91162335116160 is an abundant number, since it is smaller than the sum of its proper divisors (318669631885440).

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

91162335116160 is a wasteful number, since it uses less digits than its factorization.

91162335116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221881 (or 221860 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 91162335116160 in words is "ninety-one trillion, one hundred sixty-two billion, three hundred thirty-five million, one hundred sixteen thousand, one hundred sixty".