164170508913216 has 637 divisors, whose sum is σ = 529385421659221. Its totient is φ = 50514002742528.

The previous prime is 164170508913209. The next prime is 164170508913247. The reversal of 164170508913216 is 612319805071461.

The square root of 164170508913216 is 12812904.

The cubic root of 164170508913216 is 54756.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

164170508913216 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 7 + 0 + 508 + 91 + 32 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 140852272334400 + 23318236578816 = 11868120^2 + 4828896^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 12628500685626 + ... + 12628500685638.

It is a 1-persistent number, because it is pandigital, but 2⋅164170508913216 = 328341017826432 is not.

Almost surely, 2^{164170508913216} is an apocalyptic number.

164170508913216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164170508913216 is the 12812904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164170508913216

164170508913216 is an abundant number, since it is smaller than the sum of its proper divisors (365214912746005).

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

164170508913216 is an frugal number, since it uses more digits than its factorization.

164170508913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 164170508913216 in words is "one hundred sixty-four trillion, one hundred seventy billion, five hundred eight million, nine hundred thirteen thousand, two hundred sixteen".