144442014233000 has 512 divisors, whose sum is σ = 376581104640000. Its totient is φ = 51417894528000.

The previous prime is 144442014232979. The next prime is 144442014233003. The reversal of 144442014233000 is 332410244441.

144442014233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144442014233003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61753745831 + ... + 61753748169.

It is an arithmetic number, because the mean of its divisors is an integer number (735509970000).

Almost surely, 2^{144442014233000} is an apocalyptic number.

144442014233000 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 144442014233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188290552320000).

144442014233000 is an abundant number, since it is smaller than the sum of its proper divisors (232139090407000).

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

144442014233000 is a wasteful number, since it uses less digits than its factorization.

144442014233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144442014233000 its reverse (332410244441), we get a palindrome (144774424477441).

The spelling of 144442014233000 in words is "one hundred forty-four trillion, four hundred forty-two billion, fourteen million, two hundred thirty-three thousand".