165448867584 has 1152 divisors, whose sum is σ = 638214635520. Its totient is φ = 36628070400.

The previous prime is 165448867567. The next prime is 165448867589. The reversal of 165448867584 is 485768844561.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165448867589) 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, 686509704 + ... + 686509944.

It is an arithmetic number, because the mean of its divisors is an integer number (554005760).

Almost surely, 2^165448867584 is an apocalyptic number.

165448867584 is a gapful number since it is divisible by the number (14) 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 165448867584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319107317760).

165448867584 is an abundant number, since it is smaller than the sum of its proper divisors (472765767936).

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

165448867584 is a wasteful number, since it uses less digits than its factorization.

165448867584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 66.

The spelling of 165448867584 in words is "one hundred sixty-five billion, four hundred forty-eight million, eight hundred sixty-seven thousand, five hundred eighty-four".