165035312986368 has 288 divisors, whose sum is σ = 487842267773952. Its totient is φ = 49112270233600.

The previous prime is 165035312986339. The next prime is 165035312986391. The reversal of 165035312986368 is 863689213530561.

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

It is a junction number, because it is equal to n+sod(n) for n = 165035312986299 and 165035312986308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116393038 + ... + 117802418.

It is an arithmetic number, because the mean of its divisors is an integer number (1693896763104).

Almost surely, 2^{165035312986368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165035312986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243921133886976).

165035312986368 is an abundant number, since it is smaller than the sum of its proper divisors (322806954787584).

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

165035312986368 is a wasteful number, since it uses less digits than its factorization.

165035312986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409661 (or 1409647 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 165035312986368 in words is "one hundred sixty-five trillion, thirty-five billion, three hundred twelve million, nine hundred eighty-six thousand, three hundred sixty-eight".