161187166944 has 240 divisors, whose sum is σ = 481643094240. Its totient is φ = 52874726400.

The previous prime is 161187166879. The next prime is 161187166949. The reversal of 161187166944 is 449661781161.

It is a happy number.

161187166944 is a `hidden beast` number, since 1 + 611 + 8 + 7 + 16 + 6 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161187166949) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 45288237 + ... + 45291795.

It is an arithmetic number, because the mean of its divisors is an integer number (2006846226).

Almost surely, 2^161187166944 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 161187166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240821547120).

161187166944 is an abundant number, since it is smaller than the sum of its proper divisors (320455927296).

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

161187166944 is a wasteful number, since it uses less digits than its factorization.

161187166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3838 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 161187166944 in words is "one hundred sixty-one billion, one hundred eighty-seven million, one hundred sixty-six thousand, nine hundred forty-four".