177968129443217 has 2 divisors, whose sum is σ = 177968129443218. Its totient is φ = 177968129443216.

The previous prime is 177968129443163. The next prime is 177968129443231. The reversal of 177968129443217 is 712344921869771.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172768311186496 + 5199818256721 = 13144136^2 + 2280311^2 .

It is a cyclic number.

It is not a de Polignac number, because 177968129443217 - 2¹⁴ = 177968129426833 is a prime.

It is not a weakly prime, because it can be changed into another prime (177968129463217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 88984064721608 + 88984064721609.

It is an arithmetic number, because the mean of its divisors is an integer number (88984064721609).

Almost surely, 2^{177968129443217} is an apocalyptic number.

It is an amenable number.

177968129443217 is a deficient number, since it is larger than the sum of its proper divisors (1).

177968129443217 is an equidigital number, since it uses as much as digits as its factorization.

177968129443217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 256048128, while the sum is 71.

The spelling of 177968129443217 in words is "one hundred seventy-seven trillion, nine hundred sixty-eight billion, one hundred twenty-nine million, four hundred forty-three thousand, two hundred seventeen".