165042641265656 has 128 divisors (see below), whose sum is σ = 394492406492160. Its totient is φ = 62864556518400.

The previous prime is 165042641265503. The next prime is 165042641265661. The reversal of 165042641265656 is 656562146240561.

It is a super-2 number, since 2×165042641265656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165042641265595 and 165042641265604.

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 31 ways as a sum of consecutive naturals, for example, 179045 + ... + 18169131.

It is an arithmetic number, because the mean of its divisors is an integer number (3081971925720).

Almost surely, 2^{165042641265656} 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 165042641265656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197246203246080).

165042641265656 is an abundant number, since it is smaller than the sum of its proper divisors (229449765226504).

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

165042641265656 is a wasteful number, since it uses less digits than its factorization.

165042641265656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990445 (or 17990441 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 59.

The spelling of 165042641265656 in words is "one hundred sixty-five trillion, forty-two billion, six hundred forty-one million, two hundred sixty-five thousand, six hundred fifty-six".