No, dematerialized shares don't have distinctive numbers like physical share certificates. They are fungible, meaning all holdings of a particular security are identical and interchangeable, and are tracked by ISIN (International Securities Identification Number).
Fungibility: Dematerialized shares are treated as a single, electronic record of ownership, rather than individual physical certificates.
ISIN: The ISIN is a unique 12-digit code assigned to each security, which identifies the security and its issuer.