165384611803656 has 256 divisors, whose sum is σ = 553135769856000. Its totient is φ = 44727521829120.

The previous prime is 165384611803613. The next prime is 165384611803669. The reversal of 165384611803656 is 656308116483561.

165384611803656 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 8 + 4 + 611 + 8 + 0 + 3 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 165384611803593 and 165384611803602.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31182370 + ... + 36098606.

It is an arithmetic number, because the mean of its divisors is an integer number (2160686601000).

Almost surely, 2^{165384611803656} 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 165384611803656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276567884928000).

165384611803656 is an abundant number, since it is smaller than the sum of its proper divisors (387751158052344).

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

165384611803656 is a wasteful number, since it uses less digits than its factorization.

165384611803656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917449 (or 4917439 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 165384611803656 in words is "one hundred sixty-five trillion, three hundred eighty-four billion, six hundred eleven million, eight hundred three thousand, six hundred fifty-six".