Is the Avogadro's number another name for molar mass

No

Explanation:

Avogadro's number is the amount of particles of something per mole of something

No the molar mass of a chemical compound is defined as the mass of a sample of that compound divided by the amount of substance.

And Avogadros number is usually denoted by NA or L is the factor that, multiplied by the amount of substance in a sample, measured in moles, gives the number of constituent particles in that sample.