291149813889 has 81 divisors (see below), whose sum is σ = 470280757219. Its totient is φ = 173443559520.

The previous prime is 291149813869. The next prime is 291149813921. The reversal of 291149813889 is 988318941192.

The square root of 291149813889 is 539583.

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

291149813889 is a `hidden beast` number, since 2 + 9 + 1 + 1 + 498 + 138 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285268151025 + 5881662864 = 534105^2 + 76692^2 .

It is not a de Polignac number, because 291149813889 - 2⁹ = 291149813377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (291149813839) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1477917739 + ... + 1477917935.

Almost surely, 2^291149813889 is an apocalyptic number.

291149813889 is the 539583-rd square number.

291149813889 is the 269792-nd centered octagonal number.

It is an amenable number.

291149813889 is a deficient number, since it is larger than the sum of its proper divisors (179130943330).

291149813889 is an equidigital number, since it uses as much as digits as its factorization.

291149813889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 291149813889 in words is "two hundred ninety-one billion, one hundred forty-nine million, eight hundred thirteen thousand, eight hundred eighty-nine".