214344443412 has 144 divisors (see below), whose sum is σ = 607047255360. Its totient is φ = 63219072000.

The previous prime is 214344443381. The next prime is 214344443413.

214344443412 is a `hidden beast` number, since 214 + 3 + 4 + 4 + 4 + 434 + 1 + 2 = 666.

214344443412 is nontrivially palindromic in base 10.

214344443412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214344443413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2314348 + ... + 2405180.

It is an arithmetic number, because the mean of its divisors is an integer number (4215605940).

Almost surely, 2^214344443412 is an apocalyptic number.

214344443412 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 214344443412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303523627680).

214344443412 is an abundant number, since it is smaller than the sum of its proper divisors (392702811948).

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

214344443412 is a wasteful number, since it uses less digits than its factorization.

214344443412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91014 (or 91009 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 214344 and 443412, that added together give a palindrome (657756).

The spelling of 214344443412 in words is "two hundred fourteen billion, three hundred forty-four million, four hundred forty-three thousand, four hundred twelve".