165913033104 has 640 divisors, whose sum is σ = 608494387200. Its totient is φ = 42117304320.

The previous prime is 165913033057. The next prime is 165913033189. The reversal of 165913033104 is 401330319561.

It is a happy number.

165913033104 is a `hidden beast` number, since 1 + 6 + 591 + 30 + 3 + 31 + 0 + 4 = 666.

165913033104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 127330917 + ... + 127332219.

It is an arithmetic number, because the mean of its divisors is an integer number (950772480).

Almost surely, 2^165913033104 is an apocalyptic number.

165913033104 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 165913033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304247193600).

165913033104 is an abundant number, since it is smaller than the sum of its proper divisors (442581354096).

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

165913033104 is a wasteful number, since it uses less digits than its factorization.

165913033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 165913033104 in words is "one hundred sixty-five billion, nine hundred thirteen million, thirty-three thousand, one hundred four".