165843635328 has 384 divisors, whose sum is σ = 583877898240. Its totient is φ = 45853516800.

The previous prime is 165843635311. The next prime is 165843635329. The reversal of 165843635328 is 823536348561.

165843635328 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 43 + 63 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×165843635328² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (165843635329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6737283 + ... + 6761853.

It is an arithmetic number, because the mean of its divisors is an integer number (1520515360).

Almost surely, 2^165843635328 is an apocalyptic number.

165843635328 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 165843635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291938949120).

165843635328 is an abundant number, since it is smaller than the sum of its proper divisors (418034262912).

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

165843635328 is an equidigital number, since it uses as much as digits as its factorization.

165843635328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24638 (or 24614 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 165843635328 in words is "one hundred sixty-five billion, eight hundred forty-three million, six hundred thirty-five thousand, three hundred twenty-eight".