164024542528 has 448 divisors, whose sum is σ = 431421235200. Its totient is φ = 60038184960.

The previous prime is 164024542519. The next prime is 164024542529. The reversal of 164024542528 is 825245420461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164024542529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849868000 + ... + 849868192.

Almost surely, 2^164024542528 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 164024542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215710617600).

164024542528 is an abundant number, since it is smaller than the sum of its proper divisors (267396692672).

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

164024542528 is a wasteful number, since it uses less digits than its factorization.

164024542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

Adding to 164024542528 its reverse (825245420461), we get a palindrome (989269962989).

The spelling of 164024542528 in words is "one hundred sixty-four billion, twenty-four million, five hundred forty-two thousand, five hundred twenty-eight".