164706317568 has 504 divisors, whose sum is σ = 549385563720. Its totient is φ = 48910417920.

The previous prime is 164706317561. The next prime is 164706317591. The reversal of 164706317568 is 865713607461.

164706317568 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 0 + 63 + 17 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13204767744 + 151501549824 = 114912^2 + 389232^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164706317561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70356078 + ... + 70358418.

Almost surely, 2^164706317568 is an apocalyptic number.

164706317568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164706317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274692781860).

164706317568 is an abundant number, since it is smaller than the sum of its proper divisors (384679246152).

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

164706317568 is an equidigital number, since it uses as much as digits as its factorization.

164706317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 164706317568 in words is "one hundred sixty-four billion, seven hundred six million, three hundred seventeen thousand, five hundred sixty-eight".