212874272689 has 9 divisors (see below), whose sum is σ = 230515322859. Its totient is φ = 196493792040.

The previous prime is 212874272687. The next prime is 212874272693. The reversal of 212874272689 is 986272478212.

It is a happy number.

The square root of 212874272689 is 461383.

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

212874272689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31490277025 + 181383995664 = 177455^2 + 425892^2 .

It is not a de Polignac number, because 212874272689 - 2¹ = 212874272687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212874272687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5980234 + ... + 6015724.

It is an arithmetic number, because the mean of its divisors is an integer number (25612813651).

Almost surely, 2^212874272689 is an apocalyptic number.

212874272689 is the 461383-rd square number.

212874272689 is the 230692-nd centered octagonal number.

It is an amenable number.

212874272689 is a deficient number, since it is larger than the sum of its proper divisors (17641050170).

212874272689 is an frugal number, since it uses more digits than its factorization.

212874272689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71008 (or 35504 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 58.

The spelling of 212874272689 in words is "two hundred twelve billion, eight hundred seventy-four million, two hundred seventy-two thousand, six hundred eighty-nine".