214341331224 has 128 divisors (see below), whose sum is σ = 581201913600. Its totient is φ = 65641259520.

The previous prime is 214341331207. The next prime is 214341331231. The reversal of 214341331224 is 422133143412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214341331191 and 214341331200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5159014 + ... + 5200394.

It is an arithmetic number, because the mean of its divisors is an integer number (4540639950).

Almost surely, 2^214341331224 is an apocalyptic number.

214341331224 is a gapful number since it is divisible by the number (24) 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 214341331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290600956800).

214341331224 is an abundant number, since it is smaller than the sum of its proper divisors (366860582376).

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

214341331224 is a wasteful number, since it uses less digits than its factorization.

214341331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41753 (or 41749 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 214341331224 its reverse (422133143412), we get a palindrome (636474474636).

The spelling of 214341331224 in words is "two hundred fourteen billion, three hundred forty-one million, three hundred thirty-one thousand, two hundred twenty-four".