161309758104 has 768 divisors, whose sum is σ = 533485854720. Its totient is φ = 43545600000.

The previous prime is 161309758091. The next prime is 161309758133. The reversal of 161309758104 is 401857903161.

161309758104 is a `hidden beast` number, since 1 + 61 + 3 + 0 + 9 + 7 + 581 + 0 + 4 = 666.

161309758104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 161309758104.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2271968389 + ... + 2271968459.

It is an arithmetic number, because the mean of its divisors is an integer number (694643040).

Almost surely, 2^161309758104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161309758104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266742927360).

161309758104 is an abundant number, since it is smaller than the sum of its proper divisors (372176096616).

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

161309758104 is a wasteful number, since it uses less digits than its factorization.

161309758104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 161309758104 in words is "one hundred sixty-one billion, three hundred nine million, seven hundred fifty-eight thousand, one hundred four".