91318945536 has 576 divisors, whose sum is σ = 339546009600. Its totient is φ = 23564058624.

The previous prime is 91318945513. The next prime is 91318945537. The reversal of 91318945536 is 63554981319.

91318945536 is a `hidden beast` number, since 9 + 1 + 3 + 1 + 89 + 4 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91318945537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29561080 + ... + 29564168.

It is an arithmetic number, because the mean of its divisors is an integer number (589489600).

Almost surely, 2^91318945536 is an apocalyptic number.

91318945536 is a gapful number since it is divisible by the number (96) 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 91318945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169773004800).

91318945536 is an abundant number, since it is smaller than the sum of its proper divisors (248227064064).

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

91318945536 is a wasteful number, since it uses less digits than its factorization.

91318945536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3161 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 91318945536 in words is "ninety-one billion, three hundred eighteen million, nine hundred forty-five thousand, five hundred thirty-six".