127705674649337 has 2 divisors, whose sum is σ = 127705674649338. Its totient is φ = 127705674649336.

The previous prime is 127705674649279. The next prime is 127705674649349. The reversal of 127705674649337 is 733946476507721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73760116433641 + 53945558215696 = 8588371^2 + 7344764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127705674649337 is a prime.

It is not a weakly prime, because it can be changed into another prime (127705674649937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63852837324668 + 63852837324669.

It is an arithmetic number, because the mean of its divisors is an integer number (63852837324669).

Almost surely, 2^{127705674649337} is an apocalyptic number.

It is an amenable number.

127705674649337 is a deficient number, since it is larger than the sum of its proper divisors (1).

127705674649337 is an equidigital number, since it uses as much as digits as its factorization.

127705674649337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120210560, while the sum is 71.

The spelling of 127705674649337 in words is "one hundred twenty-seven trillion, seven hundred five billion, six hundred seventy-four million, six hundred forty-nine thousand, three hundred thirty-seven".