144921733008 has 320 divisors, whose sum is σ = 454830888960. Its totient is φ = 39275864064.

The previous prime is 144921732983. The next prime is 144921733037. The reversal of 144921733008 is 800337129441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16724485 + ... + 16733147.

It is an arithmetic number, because the mean of its divisors is an integer number (1421346528).

Almost surely, 2^144921733008 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 144921733008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227415444480).

144921733008 is an abundant number, since it is smaller than the sum of its proper divisors (309909155952).

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

144921733008 is a wasteful number, since it uses less digits than its factorization.

144921733008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 144921733008 in words is "one hundred forty-four billion, nine hundred twenty-one million, seven hundred thirty-three thousand, eight".