20948260763329 has 9 divisors (see below), whose sum is σ = 22253079382051. Its totient is φ = 19715936899360.

The previous prime is 20948260763299. The next prime is 20948260763333. The reversal of 20948260763329 is 92336706284902.

The square root of 20948260763329 is 4576927.

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

It can be written as a sum of positive squares in only one way, i.e., 16309199556225 + 4639061207104 = 4038465^2 + 2153848^2 .

It is not a de Polignac number, because 20948260763329 - 2¹³ = 20948260755137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20948260763369) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77673144 + ... + 77942374.

Almost surely, 2^{20948260763329} is an apocalyptic number.

20948260763329 is the 4576927-th square number.

20948260763329 is the 2288464-th centered octagonal number.

It is an amenable number.

20948260763329 is a deficient number, since it is larger than the sum of its proper divisors (1304818618722).

20948260763329 is an frugal number, since it uses more digits than its factorization.

20948260763329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538496 (or 269248 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 20948260763329 in words is "twenty trillion, nine hundred forty-eight billion, two hundred sixty million, seven hundred sixty-three thousand, three hundred twenty-nine".