165728854317312 has 1152 divisors, whose sum is σ = 594855599063040. Its totient is φ = 44823601152000.

The previous prime is 165728854317307. The next prime is 165728854317317. The reversal of 165728854317312 is 213713458827561.

165728854317312 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 2 + 8 + 8 + 543 + 1 + 73 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (165728854317307) and next prime (165728854317317).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 165728854317312.

It is not an unprimeable number, because it can be changed into a prime (165728854317317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65479593487 + ... + 65479596017.

It is an arithmetic number, because the mean of its divisors is an integer number (516367707520).

Almost surely, 2^{165728854317312} is an apocalyptic number.

165728854317312 is a gapful number since it is divisible by the number (12) 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 165728854317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297427799531520).

165728854317312 is an abundant number, since it is smaller than the sum of its proper divisors (429126744745728).

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

165728854317312 is a wasteful number, since it uses less digits than its factorization.

165728854317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4728 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 165728854317312 in words is "one hundred sixty-five trillion, seven hundred twenty-eight billion, eight hundred fifty-four million, three hundred seventeen thousand, three hundred twelve".