165830682816 has 168 divisors, whose sum is σ = 507250598400. Its totient is φ = 51615277056.

The previous prime is 165830682767. The next prime is 165830682817. The reversal of 165830682816 is 618286038561.

165830682816 is a `hidden beast` number, since 1 + 6 + 58 + 306 + 8 + 281 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (165830682817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176910 + ... + 1310258.

It is an arithmetic number, because the mean of its divisors is an integer number (3019348800).

Almost surely, 2^165830682816 is an apocalyptic number.

165830682816 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 165830682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253625299200).

165830682816 is an abundant number, since it is smaller than the sum of its proper divisors (341419915584).

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

165830682816 is a wasteful number, since it uses less digits than its factorization.

165830682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133511 (or 133498 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 165830682816 in words is "one hundred sixty-five billion, eight hundred thirty million, six hundred eighty-two thousand, eight hundred sixteen".