A winner may easily become anonymous in most cases. Many states allow the name of the winner to be withheld from public.
One way to keep your name out of the limelight is to consult an attorney and have the winnings claimed in the name of a "trust" account.

With the odds however, you probably won't have to worry about it.

Consider the odds of winning at about 1 in 300 million. Figure how many tickets are sold to reach the $1.6 billion figure and there sure should be a winner - unless the drawings are not completely legit. Could the computer hold back a certain number or numbers? Could a certain Power number never be given out in any of the tickets? Even if someone manually picks a certain power number could the computer hold back several. There could be 99% of all tickets sold with less than half of the 70 possible numbers. That leaves a big set for the computer to hold back. Just a bunch of senarios to think about.

Now if you win the $1.5 bill, you get approx 590 mil after taxes on a lump sum payout. The feds take 39.5% of that in taxes plus what the State takes. Still you could
walk away with about 350 mil. If you give someone a large lump sum the the feds get a gift tax on the same money they already taxed you for.

The $1.5 bil paid out over 30 payments allows the States to basically pay out only the interest and never pay out any of the principal. So in 29 years they get back everything they had to pay out. Quite a good deal. Still in the long run winning would be worth all the trouble.