164242431632214 has 192 divisors, whose sum is σ = 395611320948480. Its totient is φ = 48927445770240.

The previous prime is 164242431632161. The next prime is 164242431632219. The reversal of 164242431632214 is 412236134242461.

164242431632214 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 2 + 4 + 3 + 1 + 632 + 2 + 1 + 4 = 666.

164242431632214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164242431632214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164242431632219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2283995692 + ... + 2284067600.

It is an arithmetic number, because the mean of its divisors is an integer number (2060475629940).

Almost surely, 2^{164242431632214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164242431632214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197805660474240).

164242431632214 is an abundant number, since it is smaller than the sum of its proper divisors (231368889316266).

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

164242431632214 is a wasteful number, since it uses less digits than its factorization.

164242431632214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74215 (or 74212 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

Adding to 164242431632214 its reverse (412236134242461), we get a palindrome (576478565874675).

The spelling of 164242431632214 in words is "one hundred sixty-four trillion, two hundred forty-two billion, four hundred thirty-one million, six hundred thirty-two thousand, two hundred fourteen".