165843842877216 has 1728 divisors, whose sum is σ = 627424539356160. Its totient is φ = 42770279301120.

The previous prime is 165843842877143. The next prime is 165843842877217. The reversal of 165843842877216 is 612778248348561.

165843842877216 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 4 + 384 + 28 + 7 + 7 + 216 = 666.

165843842877216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (165843842877217) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22690356570 + ... + 22690363878.

It is an arithmetic number, because the mean of its divisors is an integer number (363092904720).

Almost surely, 2^{165843842877216} is an apocalyptic number.

165843842877216 is a gapful number since it is divisible by the number (16) 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 165843842877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313712269678080).

165843842877216 is an abundant number, since it is smaller than the sum of its proper divisors (461580696478944).

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

165843842877216 is a wasteful number, since it uses less digits than its factorization.

165843842877216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509 (or 7482 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 165843842877216 in words is "one hundred sixty-five trillion, eight hundred forty-three billion, eight hundred forty-two million, eight hundred seventy-seven thousand, two hundred sixteen".