A novel photonic crystal fiber (PCF) containing circularly organized square-shaped air holes in the cladding region is investigated. The fiber core is perforated with four circular air-filled holes to instate high nonlinearity and large negative dispersion. The numerical analysis is done with a finite element method based COMSOL Multiphysics tool to investigate different optical properties of the propounded PCF. Simulation outcome verifies a high nonlinear coefficient value of 300 W-1 Km-1 which is the highest ever achieved value without using any nonlinear materials or liquids to the best of our knowledge. In parallel, a maximum negative chromatic dispersion of -1689 ps/nm/km is achieved. Moreover, birefringence, numerical aperture, and propagation loss are also measured as 2.40×10-3, 0.59, and 4.12×10-11 dB/m respectively along with an extremely high core power fraction of 99.98%. Hence, the propounded PCF is suitable for residual dispersion compensation, supercontinuum generation, and high bitrate transmission.