91849587768 has 160 divisors (see below), whose sum is σ = 272042305920. Its totient is φ = 28905984000.

The previous prime is 91849587743. The next prime is 91849587769. The reversal of 91849587768 is 86778594819.

91849587768 is a `hidden beast` number, since 9 + 1 + 8 + 495 + 8 + 77 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 91849587696 and 91849587705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91849587769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 767848 + ... + 879368.

It is an arithmetic number, because the mean of its divisors is an integer number (1700264412).

Almost surely, 2^91849587768 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 91849587768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136021152960).

91849587768 is an abundant number, since it is smaller than the sum of its proper divisors (180192718152).

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

91849587768 is a wasteful number, since it uses less digits than its factorization.

91849587768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111611 (or 111598 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 91849587768 in words is "ninety-one billion, eight hundred forty-nine million, five hundred eighty-seven thousand, seven hundred sixty-eight".