91116053529984 has 768 divisors, whose sum is σ = 323375731660800. Its totient is φ = 24042187653120.

The previous prime is 91116053529983. The next prime is 91116053530069. The reversal of 91116053529984 is 48992535061119.

91116053529984 is a `hidden beast` number, since 9 + 1 + 1 + 1 + 6 + 0 + 535 + 2 + 9 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91116053529983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8939075992 + ... + 8939086184.

It is an arithmetic number, because the mean of its divisors is an integer number (421062150600).

Almost surely, 2^{91116053529984} 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 91116053529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161687865830400).

91116053529984 is an abundant number, since it is smaller than the sum of its proper divisors (232259678130816).

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

91116053529984 is a wasteful number, since it uses less digits than its factorization.

91116053529984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11703 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 91116053529984 in words is "ninety-one trillion, one hundred sixteen billion, fifty-three million, five hundred twenty-nine thousand, nine hundred eighty-four".