164168842518528 has 896 divisors, whose sum is σ = 513348266753280. Its totient is φ = 46313169223680.

The previous prime is 164168842518523. The next prime is 164168842518581. The reversal of 164168842518528 is 825815248861461.

It is not an unprimeable number, because it can be changed into a prime (164168842518521) 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, 12042012000 + ... + 12042025632.

It is an arithmetic number, because the mean of its divisors is an integer number (572933333430).

Almost surely, 2^{164168842518528} 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 164168842518528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256674133376640).

164168842518528 is an abundant number, since it is smaller than the sum of its proper divisors (349179424234752).

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

164168842518528 is a wasteful number, since it uses less digits than its factorization.

164168842518528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13776 (or 13752 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 69.

The spelling of 164168842518528 in words is "one hundred sixty-four trillion, one hundred sixty-eight billion, eight hundred forty-two million, five hundred eighteen thousand, five hundred twenty-eight".