More generally, it is also the largest distinct-digit perfect
Power being the 657th such number .
It is the square of the third largest 5-digit
Strobogrammatic Number (99866 and 99166 being larger).
It is also a member of sequence of perfect powers where all neighbouring digits are distinct.
9814072356 = (2 × 3 × 11 × 19 × 79) x (2 × 3 × 11 × 19 × 79).
Its reverse has a large
Prime Factor and a fourth power factor viz: 6532704189 = 3
4 × 11 × 17 × 431287.
All the prime digits are adjacent 7,2,3,5 in a
Cycle , which is equal to the cycle {2357} of the natural order.
9814072356 is a
Permutation : of order 10 read left to right, and of order 6 ({9},{8},{2,3},{0,6,4,7,1,5}) read right to left.
In base 2 and 3 its last 6 digits are the same (100100).
- Madachy, J. S. ''Madachy's Mathematical Recreations.'' New York: Dover, pp. 159 and 165, 1979.
- David Wells, ed. ''Curious and Interesting Numbers'' 1988, page 192 and 193
