164289536732304 has 105 divisors (see below), whose sum is σ = 477252167144169. Its totient is φ = 54762717479040.

The previous prime is 164289536732273. The next prime is 164289536732333. The reversal of 164289536732304 is 403237635982461.

The square root of 164289536732304 is 12817548.

It is a perfect power (a square), and thus also a powerful number.

164289536732304 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 9 + 536 + 73 + 23 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21198178805904 + 143091357926400 = 4604148^2 + 11962080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1384235844 + ... + 1384354524.

It is a 1-persistent number, because it is pandigital, but 2⋅164289536732304 = 328579073464608 is not.

Almost surely, 2^{164289536732304} is an apocalyptic number.

164289536732304 is the 12817548-th square number.

It is an amenable number.

164289536732304 is an abundant number, since it is smaller than the sum of its proper divisors (312962630411865).

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

164289536732304 is an frugal number, since it uses more digits than its factorization.

164289536732304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237388 (or 118686 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 164289536732304 in words is "one hundred sixty-four trillion, two hundred eighty-nine billion, five hundred thirty-six million, seven hundred thirty-two thousand, three hundred four".