20911149182641 has 9 divisors (see below), whose sum is σ = 21129398700651. Its totient is φ = 20695131329472.

The previous prime is 20911149182591. The next prime is 20911149182719. The reversal of 20911149182641 is 14628194111902.

The square root of 20911149182641 is 4572871.

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., 9389903847025 + 11521245335616 = 3064295^2 + 3394296^2 .

It is not a de Polignac number, because 20911149182641 - 2⁷ = 20911149182513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20911149182741) 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, 443544916 + ... + 443592058.

It is an arithmetic number, because the mean of its divisors is an integer number (2347710966739).

Almost surely, 2^{20911149182641} is an apocalyptic number.

20911149182641 is the 4572871-st square number.

20911149182641 is the 2286436-th centered octagonal number.

It is an amenable number.

20911149182641 is a deficient number, since it is larger than the sum of its proper divisors (218249518010).

20911149182641 is an frugal number, since it uses more digits than its factorization.

20911149182641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94480 (or 47240 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 20911149182641 in words is "twenty trillion, nine hundred eleven billion, one hundred forty-nine million, one hundred eighty-two thousand, six hundred forty-one".