214550067168 has 384 divisors, whose sum is σ = 659445494400. Its totient is φ = 67793780736.

The previous prime is 214550067163. The next prime is 214550067197. The reversal of 214550067168 is 861760055412.

214550067168 is a `hidden beast` number, since 2 + 14 + 5 + 500 + 6 + 71 + 68 = 666.

It is a super-3 number, since 3×214550067168³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214550067163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207695580 + ... + 207696612.

It is an arithmetic number, because the mean of its divisors is an integer number (1717305975).

Almost surely, 2^214550067168 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 214550067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329722747200).

214550067168 is an abundant number, since it is smaller than the sum of its proper divisors (444895427232).

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

214550067168 is a wasteful number, since it uses less digits than its factorization.

214550067168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 214550067168 in words is "two hundred fourteen billion, five hundred fifty million, sixty-seven thousand, one hundred sixty-eight".