144114300330000 has 3200 divisors, whose sum is σ = 654852620083200. Its totient is φ = 26885053440000.

The previous prime is 144114300329893. The next prime is 144114300330031. The reversal of 144114300330000 is 33003411441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 54444388677 + ... + 54444391323.

It is an arithmetic number, because the mean of its divisors is an integer number (204641443776).

Almost surely, 2^{144114300330000} is an apocalyptic number.

144114300330000 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 144114300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327426310041600).

144114300330000 is an abundant number, since it is smaller than the sum of its proper divisors (510738319753200).

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

144114300330000 is a wasteful number, since it uses less digits than its factorization.

144114300330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 144114300330000 its reverse (33003411441), we get a palindrome (144147303741441).

The spelling of 144114300330000 in words is "one hundred forty-four trillion, one hundred fourteen billion, three hundred million, three hundred thirty thousand".