4 16 49 | What is the next number in the sequence 4 16 49 ?

Find the next number that fits the pattern:

4, 16, 49, ?

169

Explanation:

Each number is a sum of digits of the previous number squared
s(n) = [sum of digits of s(n-1)]²
16 = 4²
49 = (1+6)² = 7²
169 = (4+9)² = 13²

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What is the next number?

4, 16, 49, ?

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