165633107328 has 192 divisors, whose sum is σ = 518004286800. Its totient is φ = 50495975424.

The previous prime is 165633107323. The next prime is 165633107389. The reversal of 165633107328 is 823701336561.

165633107328 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 3 + 310 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165633107323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1581651 + ... + 1683117.

Almost surely, 2^165633107328 is an apocalyptic number.

165633107328 is a gapful number since it is divisible by the number (18) 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 165633107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259002143400).

165633107328 is an abundant number, since it is smaller than the sum of its proper divisors (352371179472).

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

165633107328 is a wasteful number, since it uses less digits than its factorization.

165633107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101609 (or 101594 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 165633107328 in words is "one hundred sixty-five billion, six hundred thirty-three million, one hundred seven thousand, three hundred twenty-eight".