214104221324322 has 192 divisors, whose sum is σ = 532787358910464. Its totient is φ = 57050167722240.

The previous prime is 214104221324293. The next prime is 214104221324327. The reversal of 214104221324322 is 223423122401412.

It is a super-3 number, since 3×214104221324322³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214104221324327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445287613 + ... + 445768175.

It is an arithmetic number, because the mean of its divisors is an integer number (2774934160992).

Almost surely, 2^{214104221324322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214104221324322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266393679455232).

214104221324322 is an abundant number, since it is smaller than the sum of its proper divisors (318683137586142).

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

214104221324322 is a wasteful number, since it uses less digits than its factorization.

214104221324322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482253 (or 482246 counting only the distinct ones).

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

Adding to 214104221324322 its reverse (223423122401412), we get a palindrome (437527343725734).

The spelling of 214104221324322 in words is "two hundred fourteen trillion, one hundred four billion, two hundred twenty-one million, three hundred twenty-four thousand, three hundred twenty-two".