164237104242 has 96 divisors (see below), whose sum is σ = 377578506240. Its totient is φ = 51449580000.

The previous prime is 164237104219. The next prime is 164237104253. The reversal of 164237104242 is 242401732461.

164237104242 is a `hidden beast` number, since 1 + 6 + 42 + 371 + 0 + 4 + 242 = 666.

164237104242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164237104197 and 164237104206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47044117 + ... + 47047607.

It is an arithmetic number, because the mean of its divisors is an integer number (3933109440).

Almost surely, 2^164237104242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164237104242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188789253120).

164237104242 is an abundant number, since it is smaller than the sum of its proper divisors (213341401998).

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

164237104242 is a wasteful number, since it uses less digits than its factorization.

164237104242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 164237104242 in words is "one hundred sixty-four billion, two hundred thirty-seven million, one hundred four thousand, two hundred forty-two".