161144300160 has 384 divisors, whose sum is σ = 614809128960. Its totient is φ = 38685081600.

The previous prime is 161144300159. The next prime is 161144300227. The reversal of 161144300160 is 61003441161.

161144300160 is a `hidden beast` number, since 1 + 61 + 1 + 443 + 0 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2216385 + ... + 2287935.

It is an arithmetic number, because the mean of its divisors is an integer number (1601065440).

Almost surely, 2^161144300160 is an apocalyptic number.

161144300160 is a gapful number since it is divisible by the number (10) 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 161144300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307404564480).

161144300160 is an abundant number, since it is smaller than the sum of its proper divisors (453664828800).

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

161144300160 is a wasteful number, since it uses less digits than its factorization.

161144300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71616 (or 71601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 161144300160 in words is "one hundred sixty-one billion, one hundred forty-four million, three hundred thousand, one hundred sixty".