214143341412 has 384 divisors, whose sum is σ = 702092095488. Its totient is φ = 49007462400.

The previous prime is 214143341333. The next prime is 214143341417.

It is a happy number.

214143341412 is nontrivially palindromic in base 10.

214143341412 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 214143341412.

It is not an unprimeable number, because it can be changed into a prime (214143341417) 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 127 ways as a sum of consecutive naturals, for example, 23550987 + ... + 23560077.

It is an arithmetic number, because the mean of its divisors is an integer number (1828364832).

Almost surely, 2^214143341412 is an apocalyptic number.

214143341412 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 214143341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351046047744).

214143341412 is an abundant number, since it is smaller than the sum of its proper divisors (487948754076).

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

214143341412 is a wasteful number, since it uses less digits than its factorization.

214143341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9217 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 214143 and 341412, that added together give a palindrome (555555).

The spelling of 214143341412 in words is "two hundred fourteen billion, one hundred forty-three million, three hundred forty-one thousand, four hundred twelve".