144284168832 has 128 divisors (see below), whose sum is σ = 392292979200. Its totient is φ = 46973230080.

The previous prime is 144284168807. The next prime is 144284168849. The reversal of 144284168832 is 238861482441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2892519 + ... + 2941977.

It is an arithmetic number, because the mean of its divisors is an integer number (3064788900).

Almost surely, 2^144284168832 is an apocalyptic number.

144284168832 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 144284168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196146489600).

144284168832 is an abundant number, since it is smaller than the sum of its proper divisors (248008810368).

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

144284168832 is a wasteful number, since it uses less digits than its factorization.

144284168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49654 (or 49642 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 144284168832 in words is "one hundred forty-four billion, two hundred eighty-four million, one hundred sixty-eight thousand, eight hundred thirty-two".