214243212320 has 48 divisors (see below), whose sum is σ = 506482502400. Its totient is φ = 85640918784.

The previous prime is 214243212311. The next prime is 214243212331. The reversal of 214243212320 is 23212342412.

214243212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214243212320³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214243212320.

It is an unprimeable number.

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, 195920 + ... + 683279.

It is an arithmetic number, because the mean of its divisors is an integer number (10551718800).

Almost surely, 2^214243212320 is an apocalyptic number.

214243212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243212320 is an abundant number, since it is smaller than the sum of its proper divisors (292239290080).

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

214243212320 is a wasteful number, since it uses less digits than its factorization.

214243212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880737 (or 880729 counting only the distinct ones).

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

Adding to 214243212320 its reverse (23212342412), we get a palindrome (237455554732).

The spelling of 214243212320 in words is "two hundred fourteen billion, two hundred forty-three million, two hundred twelve thousand, three hundred twenty".