214122456 has 192 divisors, whose sum is σ = 645765120. Its totient is φ = 63866880.

The previous prime is 214122451. The next prime is 214122473. The reversal of 214122456 is 654221412.

214122456 is a `hidden beast` number, since 2 + 1 + 412 + 245 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214122451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207400 + ... + 2207496.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^214122456 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 214122456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

214122456 is an abundant number, since it is smaller than the sum of its proper divisors (431642664).

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

214122456 is a wasteful number, since it uses less digits than its factorization.

214122456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 214122456 is about 14632.9236996576. The cubic root of 214122456 is about 598.2564717563.

Adding to 214122456 its reverse (654221412), we get a palindrome (868343868).

The spelling of 214122456 in words is "two hundred fourteen million, one hundred twenty-two thousand, four hundred fifty-six".