160144441632 has 288 divisors, whose sum is σ = 546264456192. Its totient is φ = 45203007744.

The previous prime is 160144441627. The next prime is 160144441643. The reversal of 160144441632 is 236144441061.

160144441632 is a `hidden beast` number, since 1 + 6 + 0 + 14 + 4 + 4 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4500133 + ... + 4535579.

It is an arithmetic number, because the mean of its divisors is an integer number (1896751584).

Almost surely, 2^160144441632 is an apocalyptic number.

160144441632 is a gapful number since it is divisible by the number (12) 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 160144441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273132228096).

160144441632 is an abundant number, since it is smaller than the sum of its proper divisors (386120014560).

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

160144441632 is an equidigital number, since it uses as much as digits as its factorization.

160144441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35562 (or 35542 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 160144441632 its reverse (236144441061), we get a palindrome (396288882693).

The spelling of 160144441632 in words is "one hundred sixty billion, one hundred forty-four million, four hundred forty-one thousand, six hundred thirty-two".