22466104004214 has 448 divisors, whose sum is σ = 59318602076160. Its totient is φ = 6321394379520.

The previous prime is 22466104004213. The next prime is 22466104004219. The reversal of 22466104004214 is 41240040166422.

22466104004214 is a `hidden beast` number, since 2 + 24 + 6 + 6 + 10 + 400 + 4 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22466104004213) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1121668752 + ... + 1121688780.

It is an arithmetic number, because the mean of its divisors is an integer number (132407593920).

Almost surely, 2^{22466104004214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22466104004214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659301038080).

22466104004214 is an abundant number, since it is smaller than the sum of its proper divisors (36852498071946).

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

22466104004214 is a wasteful number, since it uses less digits than its factorization.

22466104004214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20199 (or 20184 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22466104004214 in words is "twenty-two trillion, four hundred sixty-six billion, one hundred four million, four thousand, two hundred fourteen".