214667250768 has 120 divisors (see below), whose sum is σ = 621880197120. Its totient is φ = 69044532480.

The previous prime is 214667250757. The next prime is 214667250781. The reversal of 214667250768 is 867052766412.

It is a happy number.

214667250768 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 6 + 72 + 507 + 68 = 666.

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, 6929233 + ... + 6960143.

It is an arithmetic number, because the mean of its divisors is an integer number (5182334976).

Almost surely, 2^214667250768 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 214667250768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310940098560).

214667250768 is an abundant number, since it is smaller than the sum of its proper divisors (407212946352).

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

214667250768 is a wasteful number, since it uses less digits than its factorization.

214667250768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32617 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 214667250768 in words is "two hundred fourteen billion, six hundred sixty-seven million, two hundred fifty thousand, seven hundred sixty-eight".