Which number comes next in this series 1, 64, 1, 32, 1, 16, 1, 8, 1, 4, 1, 2?

The next number in the series is 1.

This series alternates between the number 1 and a sequence of decreasing powers of 2. The pattern is as follows:

• 1 (constant)
• 64 (which is 2⁶)
• 1 (constant)
• 32 (which is 2⁵)
• 1 (constant)
• 16 (which is 2⁴)
• 1 (constant)
• 8 (which is 2³)
• 1 (constant)
• 4 (which is 2²)
• 1 (constant)
• 2 (which is 2¹)

After the last 2, we expect another 1, continuing the established alternating pattern.