165210144001344 has 294 divisors, whose sum is σ = 532252237959486. Its totient is φ = 50833888035840.

The previous prime is 165210144001337. The next prime is 165210144001367. The reversal of 165210144001344 is 443100441012561.

165210144001344 is a `hidden beast` number, since 1 + 6 + 5 + 210 + 1 + 4 + 400 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9242816040000 + 155967327961344 = 3040200^2 + 12488688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165210144001299 and 165210144001308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2591547 + ... + 18361274.

Almost surely, 2^{165210144001344} 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 165210144001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266126118979743).

165210144001344 is an abundant number, since it is smaller than the sum of its proper divisors (367042093958142).

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

165210144001344 is an equidigital number, since it uses as much as digits as its factorization.

165210144001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952877 (or 20952839 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 165210144001344 in words is "one hundred sixty-five trillion, two hundred ten billion, one hundred forty-four million, one thousand, three hundred forty-four".