214234332312 has 384 divisors, whose sum is σ = 726197875200. Its totient is φ = 51248609280.

The previous prime is 214234332307. The next prime is 214234332341. The reversal of 214234332312 is 213233432412.

It is a happy number.

214234332312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214234332312.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 195290548 + ... + 195291644.

It is an arithmetic number, because the mean of its divisors is an integer number (1891140300).

Almost surely, 2^214234332312 is an apocalyptic number.

214234332312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214234332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363098937600).

214234332312 is an abundant number, since it is smaller than the sum of its proper divisors (511963542888).

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

214234332312 is a wasteful number, since it uses less digits than its factorization.

214234332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1872 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 214234332312 its reverse (213233432412), we get a palindrome (427467764724).

It can be divided in two parts, 2142343 and 32312, that added together give a triangular number (2174655 = T₂₀₈₅).

The spelling of 214234332312 in words is "two hundred fourteen billion, two hundred thirty-four million, three hundred thirty-two thousand, three hundred twelve".