214233338268 has 168 divisors, whose sum is σ = 584778171600. Its totient is φ = 68558628096.

The previous prime is 214233338213. The next prime is 214233338273. The reversal of 214233338268 is 862833332412.

214233338268 is a `hidden beast` number, since 21 + 4 + 2 + 33 + 338 + 268 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15129880 + ... + 15144032.

It is an arithmetic number, because the mean of its divisors is an integer number (3480822450).

Almost surely, 2^214233338268 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 214233338268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292389085800).

214233338268 is an abundant number, since it is smaller than the sum of its proper divisors (370544833332).

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

214233338268 is a wasteful number, since it uses less digits than its factorization.

214233338268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14383 (or 14366 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 214233338268 in words is "two hundred fourteen billion, two hundred thirty-three million, three hundred thirty-eight thousand, two hundred sixty-eight".