91168524264841 has 27 divisors (see below), whose sum is σ = 94798713124479. Its totient is φ = 87673751251968.

The previous prime is 91168524264799. The next prime is 91168524264913. The reversal of 91168524264841 is 14846242586119.

It is a happy number.

The square root of 91168524264841 is 9548221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18820230856441 + 72348293408400 = 4338229^2 + 8505780^2 .

It is not a de Polignac number, because 91168524264841 - 2¹⁵ = 91168524232073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91168524264841.

It is not an unprimeable number, because it can be changed into a prime (91168524264341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93314763345 + ... + 93314764321.

Almost surely, 2^{91168524264841} is an apocalyptic number.

91168524264841 is the 9548221-st square number.

91168524264841 is the 4774111-st centered octagonal number.

It is an amenable number.

91168524264841 is a deficient number, since it is larger than the sum of its proper divisors (3630188859638).

91168524264841 is an frugal number, since it uses more digits than its factorization.

91168524264841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 1343 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 61.

The spelling of 91168524264841 in words is "ninety-one trillion, one hundred sixty-eight billion, five hundred twenty-four million, two hundred sixty-four thousand, eight hundred forty-one".