165435941160576 has 384 divisors, whose sum is σ = 489570399077760. Its totient is φ = 53590923509760.

The previous prime is 165435941160541. The next prime is 165435941160587. The reversal of 165435941160576 is 675061149534561.

165435941160576 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 3 + 5 + 9 + 4 + 11 + 605 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 33307012045 + ... + 33307017011.

It is an arithmetic number, because the mean of its divisors is an integer number (1274922914265).

Almost surely, 2^{165435941160576} is an apocalyptic number.

165435941160576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165435941160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244785199538880).

165435941160576 is an abundant number, since it is smaller than the sum of its proper divisors (324134457917184).

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

165435941160576 is a wasteful number, since it uses less digits than its factorization.

165435941160576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 165435941160576 in words is "one hundred sixty-five trillion, four hundred thirty-five billion, nine hundred forty-one million, one hundred sixty thousand, five hundred seventy-six".