214222013140344 has 192 divisors, whose sum is σ = 592640883287040. Its totient is φ = 64477749600000.

The previous prime is 214222013140339. The next prime is 214222013140357. The reversal of 214222013140344 is 443041310222412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4117965054 + ... + 4118017074.

It is an arithmetic number, because the mean of its divisors is an integer number (3086671267120).

Almost surely, 2^{214222013140344} is an apocalyptic number.

214222013140344 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 214222013140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296320441643520).

214222013140344 is an abundant number, since it is smaller than the sum of its proper divisors (378418870146696).

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

214222013140344 is a wasteful number, since it uses less digits than its factorization.

214222013140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61594 (or 61579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 214222013140344 its reverse (443041310222412), we get a palindrome (657263323362756).

The spelling of 214222013140344 in words is "two hundred fourteen trillion, two hundred twenty-two billion, thirteen million, one hundred forty thousand, three hundred forty-four".