164024030041104 has 160 divisors (see below), whose sum is σ = 434798930016000. Its totient is φ = 53263822510080.

The previous prime is 164024030041051. The next prime is 164024030041159. The reversal of 164024030041104 is 401140030420461.

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 31 ways as a sum of consecutive naturals, for example, 813417637 + ... + 813619259.

It is an arithmetic number, because the mean of its divisors is an integer number (2717493312600).

Almost surely, 2^{164024030041104} 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 164024030041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217399465008000).

164024030041104 is an abundant number, since it is smaller than the sum of its proper divisors (270774899974896).

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

164024030041104 is a wasteful number, since it uses less digits than its factorization.

164024030041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204353 (or 204347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 164024030041104 its reverse (401140030420461), we get a palindrome (565164060461565).

The spelling of 164024030041104 in words is "one hundred sixty-four trillion, twenty-four billion, thirty million, forty-one thousand, one hundred four".