27743205461 has 2 divisors, whose sum is σ = 27743205462. Its totient is φ = 27743205460.

The previous prime is 27743205409. The next prime is 27743205463. The reversal of 27743205461 is 16450234772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27632745361 + 110460100 = 166231^2 + 10510^2 .

It is a cyclic number.

It is not a de Polignac number, because 27743205461 - 2⁶ = 27743205397 is a prime.

Together with 27743205463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27743205463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13871602730 + 13871602731.

It is an arithmetic number, because the mean of its divisors is an integer number (13871602731).

Almost surely, 2^27743205461 is an apocalyptic number.

It is an amenable number.

27743205461 is a deficient number, since it is larger than the sum of its proper divisors (1).

27743205461 is an equidigital number, since it uses as much as digits as its factorization.

27743205461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 27743205461 in words is "twenty-seven billion, seven hundred forty-three million, two hundred five thousand, four hundred sixty-one".