165823816704 has 528 divisors, whose sum is σ = 553522424832. Its totient is φ = 43211390976.

The previous prime is 165823816699. The next prime is 165823816721. The reversal of 165823816704 is 407618328561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374319907 + ... + 374320349.

Almost surely, 2^165823816704 is an apocalyptic number.

165823816704 is a gapful number since it is divisible by the number (14) 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 165823816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276761212416).

165823816704 is an abundant number, since it is smaller than the sum of its proper divisors (387698608128).

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

165823816704 is a wasteful number, since it uses less digits than its factorization.

165823816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 165823816704 in words is "one hundred sixty-five billion, eight hundred twenty-three million, eight hundred sixteen thousand, seven hundred four".