144094944000 has 576 divisors, whose sum is σ = 564710694912. Its totient is φ = 31868928000.

The previous prime is 144094943983. The next prime is 144094944067. The reversal of 144094944000 is 449490441.

It is a super-3 number, since 3×144094944000³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144094944000.

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, 20828542 + ... + 20835458.

It is an arithmetic number, because the mean of its divisors is an integer number (980400512).

Almost surely, 2^144094944000 is an apocalyptic number.

144094944000 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 144094944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282355347456).

144094944000 is an abundant number, since it is smaller than the sum of its proper divisors (420615750912).

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

144094944000 is an equidigital number, since it uses as much as digits as its factorization.

144094944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 144094944000 in words is "one hundred forty-four billion, ninety-four million, nine hundred forty-four thousand".