144334334000 has 160 divisors (see below), whose sum is σ = 361579982400. Its totient is φ = 55658803200.

The previous prime is 144334333999. The next prime is 144334334033. The reversal of 144334334000 is 433433441.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49820552 + ... + 49823448.

It is an arithmetic number, because the mean of its divisors is an integer number (2259874890).

Almost surely, 2^144334334000 is an apocalyptic number.

144334334000 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 144334334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180789991200).

144334334000 is an abundant number, since it is smaller than the sum of its proper divisors (217245648400).

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

144334334000 is a wasteful number, since it uses less digits than its factorization.

144334334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 144334334000 its reverse (433433441), we get a palindrome (144767767441).

The spelling of 144334334000 in words is "one hundred forty-four billion, three hundred thirty-four million, three hundred thirty-four thousand".