165328816878144 has 252 divisors, whose sum is σ = 491767841195904. Its totient is φ = 53099546692608.

The previous prime is 165328816878061. The next prime is 165328816878149. The reversal of 165328816878144 is 441878618823561.

165328816878144 is a `hidden beast` number, since 1 + 6 + 5 + 328 + 81 + 6 + 87 + 8 + 144 = 666.

It is a super-2 number, since 2×165328816878144² (a number of 29 digits) contains 22 as substring.

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 (165328816878149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 80202249 + ... + 82237815.

Almost surely, 2^{165328816878144} 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 165328816878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245883920597952).

165328816878144 is an abundant number, since it is smaller than the sum of its proper divisors (326439024317760).

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

165328816878144 is a wasteful number, since it uses less digits than its factorization.

165328816878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035762 (or 2035712 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 165328816878144 in words is "one hundred sixty-five trillion, three hundred twenty-eight billion, eight hundred sixteen million, eight hundred seventy-eight thousand, one hundred forty-four".