211114518784 has 135 divisors (see below), whose sum is σ = 466233468393. Its totient is φ = 95364332544.

The previous prime is 211114518779. The next prime is 211114518803. The reversal of 211114518784 is 487815411112.

The square root of 211114518784 is 459472.

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., 31229958400 + 179884560384 = 176720^2 + 424128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211114518784.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 4491798249 + ... + 4491798295.

Almost surely, 2^211114518784 is an apocalyptic number.

211114518784 is the 459472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211114518784

211114518784 is an abundant number, since it is smaller than the sum of its proper divisors (255118949609).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211114518784 is an frugal number, since it uses more digits than its factorization.

211114518784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 62 counting only the distinct ones).

The product of its digits is 71680, while the sum is 43.

Adding to 211114518784 its reverse (487815411112), we get a palindrome (698929929896).

The spelling of 211114518784 in words is "two hundred eleven billion, one hundred fourteen million, five hundred eighteen thousand, seven hundred eighty-four".