211864122369 has 45 divisors (see below), whose sum is σ = 319329273747. Its totient is φ = 139986164736.

The previous prime is 211864122343. The next prime is 211864122383. The reversal of 211864122369 is 963221468112.

The square root of 211864122369 is 460287.

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

211864122369 is a `hidden beast` number, since 21 + 186 + 412 + 2 + 36 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208579457025 + 3284665344 = 456705^2 + 57312^2 .

It is not a de Polignac number, because 211864122369 - 2⁷ = 211864122241 is a prime.

It is a super-2 number, since 2×211864122369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211864122319) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 824373889 + ... + 824374145.

Almost surely, 2^211864122369 is an apocalyptic number.

211864122369 is the 460287-th square number.

211864122369 is the 230144-th centered octagonal number.

It is an amenable number.

211864122369 is a deficient number, since it is larger than the sum of its proper divisors (107465151378).

211864122369 is an frugal number, since it uses more digits than its factorization.

211864122369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 459 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 211864122369 in words is "two hundred eleven billion, eight hundred sixty-four million, one hundred twenty-two thousand, three hundred sixty-nine".