214032312224 has 48 divisors (see below), whose sum is σ = 422710495200. Its totient is φ = 106677575424.

The previous prime is 214032312167. The next prime is 214032312227. The reversal of 214032312224 is 422213230412.

214032312224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214032312193 and 214032312202.

It is not an unprimeable number, because it can be changed into a prime (214032312227) 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 7 ways as a sum of consecutive naturals, for example, 32245034 + ... + 32251670.

It is an arithmetic number, because the mean of its divisors is an integer number (8806468650).

Almost surely, 2^214032312224 is an apocalyptic number.

It is an amenable number.

214032312224 is a deficient number, since it is larger than the sum of its proper divisors (208678182976).

214032312224 is a wasteful number, since it uses less digits than its factorization.

214032312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 214032312224 its reverse (422213230412), we get a palindrome (636245542636).

The spelling of 214032312224 in words is "two hundred fourteen billion, thirty-two million, three hundred twelve thousand, two hundred twenty-four".