112264191 has 64 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 64834560.

The previous prime is 112264181. The next prime is 112264213. The reversal of 112264191 is 191462211.

112264191 is a `hidden beast` number, since 1 + 12 + 2 + 641 + 9 + 1 = 666.

It is not a de Polignac number, because 112264191 - 2¹⁰ = 112263167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112264111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417205 + ... + 417473.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^112264191 is an apocalyptic number.

112264191 is a deficient number, since it is larger than the sum of its proper divisors (78247809).

112264191 is a wasteful number, since it uses less digits than its factorization.

112264191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 112264191 is about 10595.4797437398. The cubic root of 112264191 is about 482.4071658672.

The spelling of 112264191 in words is "one hundred twelve million, two hundred sixty-four thousand, one hundred ninety-one".