214314442203232 has 144 divisors (see below), whose sum is σ = 505723491034272. Its totient is φ = 87524892887040.

The previous prime is 214314442203223. The next prime is 214314442203247. The reversal of 214314442203232 is 232302244413412.

It is a junction number, because it is equal to n+sod(n) for n = 214314442203191 and 214314442203200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10670878 + ... + 23291554.

It is an arithmetic number, because the mean of its divisors is an integer number (3511968687738).

Almost surely, 2^{214314442203232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214314442203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252861745517136).

214314442203232 is an abundant number, since it is smaller than the sum of its proper divisors (291409048831040).

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

214314442203232 is a wasteful number, since it uses less digits than its factorization.

214314442203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12620821 (or 12620770 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 214314442203232 its reverse (232302244413412), we get a palindrome (446616686616644).

The spelling of 214314442203232 in words is "two hundred fourteen trillion, three hundred fourteen billion, four hundred forty-two million, two hundred three thousand, two hundred thirty-two".