91998348584967 has 144 divisors (see below), whose sum is σ = 150582667910688. Its totient is φ = 53664090900480.

The previous prime is 91998348584921. The next prime is 91998348584971. The reversal of 91998348584967 is 76948584389919.

91998348584967 is a `hidden beast` number, since 9 + 1 + 9 + 9 + 8 + 34 + 85 + 8 + 496 + 7 = 666.

It is not a de Polignac number, because 91998348584967 - 2¹⁵ = 91998348552199 is a prime.

It is a super-2 number, since 2×91998348584967² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91998348584167) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3446521273 + ... + 3446547965.

It is an arithmetic number, because the mean of its divisors is an integer number (1045712971602).

Almost surely, 2^{91998348584967} is an apocalyptic number.

91998348584967 is a deficient number, since it is larger than the sum of its proper divisors (58584319325721).

91998348584967 is a wasteful number, since it uses less digits than its factorization.

91998348584967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038 (or 26976 counting only the distinct ones).

The product of its digits is 33861058560, while the sum is 90.

The spelling of 91998348584967 in words is "ninety-one trillion, nine hundred ninety-eight billion, three hundred forty-eight million, five hundred eighty-four thousand, nine hundred sixty-seven".