191106117441 has 24 divisors (see below), whose sum is σ = 277799883816. Its totient is φ = 126594385920.

The previous prime is 191106117413. The next prime is 191106117481. The reversal of 191106117441 is 144711601191.

191106117441 is a `hidden beast` number, since 1 + 91 + 10 + 6 + 117 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22572057600 + 168534059841 = 150240^2 + 410529^2 .

It is not a de Polignac number, because 191106117441 - 2²² = 191101923137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 191106117396 and 191106117405.

It is not an unprimeable number, because it can be changed into a prime (191106117401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417171 + ... + 1546151.

It is an arithmetic number, because the mean of its divisors is an integer number (11574995159).

Almost surely, 2^191106117441 is an apocalyptic number.

It is an amenable number.

191106117441 is a deficient number, since it is larger than the sum of its proper divisors (86693766375).

191106117441 is a wasteful number, since it uses less digits than its factorization.

191106117441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130033 (or 130030 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 191106117441 in words is "one hundred ninety-one billion, one hundred six million, one hundred seventeen thousand, four hundred forty-one".