91796361965568 has 2080 divisors, whose sum is σ = 328004776028160. Its totient is φ = 25309678141440.

The previous prime is 91796361965557. The next prime is 91796361965579. The reversal of 91796361965568 is 86556916369719.

91796361965568 is a `hidden beast` number, since 9 + 1 + 7 + 9 + 6 + 36 + 19 + 6 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (91796361965557) and next prime (91796361965579).

It is a super-2 number, since 2×91796361965568² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 212984598313 + ... + 212984598743.

Almost surely, 2^{91796361965568} 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 91796361965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164002388014080).

91796361965568 is an abundant number, since it is smaller than the sum of its proper divisors (236208414062592).

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

91796361965568 is a wasteful number, since it uses less digits than its factorization.

91796361965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its digits is 3968092800, while the sum is 81.

The spelling of 91796361965568 in words is "ninety-one trillion, seven hundred ninety-six billion, three hundred sixty-one million, nine hundred sixty-five thousand, five hundred sixty-eight".