212314522176 has 189 divisors, whose sum is σ = 619366869849. Its totient is φ = 69536627712.

The previous prime is 212314522169. The next prime is 212314522237. The reversal of 212314522176 is 671225413212.

The square root of 212314522176 is 460776.

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

212314522176 is a `hidden beast` number, since 2 + 1 + 2 + 31 + 452 + 2 + 176 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120520065600 + 91794456576 = 347160^2 + 302976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212314522176.

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 26 ways as a sum of consecutive naturals, for example, 807279421 + ... + 807279683.

Almost surely, 2^212314522176 is an apocalyptic number.

212314522176 is the 460776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212314522176

212314522176 is an abundant number, since it is smaller than the sum of its proper divisors (407052347673).

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

212314522176 is an frugal number, since it uses more digits than its factorization.

212314522176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 341 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Multiplying 212314522176 by its sum of digits (36), we get a square (7643322798336 = 2764656²).

212314522176 divided by its sum of digits (36) gives a square (5897625616 = 76796²).

Adding to 212314522176 its reverse (671225413212), we get a palindrome (883539935388).

The spelling of 212314522176 in words is "two hundred twelve billion, three hundred fourteen million, five hundred twenty-two thousand, one hundred seventy-six".