20773331181729 has 81 divisors (see below), whose sum is σ = 36841860875313. Its totient is φ = 11244728641104.

The previous prime is 20773331181679. The next prime is 20773331181761. The reversal of 20773331181729 is 92718113337702.

The square root of 20773331181729 is 4557777.

It is a perfect power (a square), and thus also a powerful number.

20773331181729 is a `hidden beast` number, since 20 + 7 + 7 + 333 + 118 + 172 + 9 = 666.

It is not a de Polignac number, because 20773331181729 - 2⁹ = 20773331181217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20773331101729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1818547312 + ... + 1818558734.

Almost surely, 2^{20773331181729} is an apocalyptic number.

20773331181729 is the 4557777-th square number.

20773331181729 is the 2278889-th centered octagonal number.

It is an amenable number.

20773331181729 is a deficient number, since it is larger than the sum of its proper divisors (16068529693584).

20773331181729 is an frugal number, since it uses more digits than its factorization.

20773331181729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22904 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 20773331181729 in words is "twenty trillion, seven hundred seventy-three billion, three hundred thirty-one million, one hundred eighty-one thousand, seven hundred twenty-nine".