144661321728 has 432 divisors, whose sum is σ = 530242319880. Its totient is φ = 37571788800.

The previous prime is 144661321723. The next prime is 144661321733. The reversal of 144661321728 is 827123166441.

144661321728 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 613 + 2 + 1 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (144661321723) and next prime (144661321733).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144661321723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9927568 + ... + 9942128.

Almost surely, 2^144661321728 is an apocalyptic number.

144661321728 is a gapful number since it is divisible by the number (18) 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 144661321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265121159940).

144661321728 is an abundant number, since it is smaller than the sum of its proper divisors (385580998152).

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

144661321728 is a wasteful number, since it uses less digits than its factorization.

144661321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614 (or 14584 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 144661321728 in words is "one hundred forty-four billion, six hundred sixty-one million, three hundred twenty-one thousand, seven hundred twenty-eight".