211481336641 has 9 divisors (see below), whose sum is σ = 213489934371. Its totient is φ = 209491474824.

The previous prime is 211481336593. The next prime is 211481336669. The reversal of 211481336641 is 146633184112.

The square root of 211481336641 is 459871.

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., 147401477041 + 64079859600 = 383929^2 + 253140^2 .

It is not a de Polignac number, because 211481336641 - 2¹⁹ = 211480812353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211481336594 and 211481336603.

It is not an unprimeable number, because it can be changed into a prime (211481336681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50123830 + ... + 50128048.

It is an arithmetic number, because the mean of its divisors is an integer number (23721103819).

Almost surely, 2^211481336641 is an apocalyptic number.

211481336641 is the 459871-st square number.

211481336641 is the 229936-th centered octagonal number.

It is an amenable number.

211481336641 is a deficient number, since it is larger than the sum of its proper divisors (2008597730).

211481336641 is an frugal number, since it uses more digits than its factorization.

211481336641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 4328 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The spelling of 211481336641 in words is "two hundred eleven billion, four hundred eighty-one million, three hundred thirty-six thousand, six hundred forty-one".