91124893161 has 45 divisors (see below), whose sum is σ = 144676532341. Its totient is φ = 57147424128.

The previous prime is 91124893159. The next prime is 91124893193. The reversal of 91124893161 is 16139842119.

The square root of 91124893161 is 301869.

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

91124893161 is a `hidden beast` number, since 9 + 1 + 1 + 2 + 489 + 3 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5433561 + 91119459600 = 2331^2 + 301860^2 .

It is not a de Polignac number, because 91124893161 - 2¹ = 91124893159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91124893151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46184971 + ... + 46186943.

Almost surely, 2^91124893161 is an apocalyptic number.

91124893161 is the 301869-th square number.

91124893161 is the 150935-th centered octagonal number.

It is an amenable number.

91124893161 is a deficient number, since it is larger than the sum of its proper divisors (53551639180).

91124893161 is an frugal number, since it uses more digits than its factorization.

91124893161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 1993 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 91124893161 in words is "ninety-one billion, one hundred twenty-four million, eight hundred ninety-three thousand, one hundred sixty-one".