164964585573316 has 27 divisors (see below), whose sum is σ = 289901750152077. Its totient is φ = 82136960084160.

The previous prime is 164964585573283. The next prime is 164964585573317. The reversal of 164964585573316 is 613375585469461.

The square root of 164964585573316 is 12843854.

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

It can be written as a sum of positive squares in only one way, i.e., 124064979294916 + 40899606278400 = 11138446^2 + 6395280^2 .

It is a super-3 number, since 3×164964585573316³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164964585573317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6190724305 + ... + 6190750951.

Almost surely, 2^{164964585573316} is an apocalyptic number.

164964585573316 is the 12843854-th square number.

It is an amenable number.

164964585573316 is a deficient number, since it is larger than the sum of its proper divisors (124937164578761).

164964585573316 is an frugal number, since it uses more digits than its factorization.

164964585573316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53780 (or 26890 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 73.

The spelling of 164964585573316 in words is "one hundred sixty-four trillion, nine hundred sixty-four billion, five hundred eighty-five million, five hundred seventy-three thousand, three hundred sixteen".