144864300000 has 576 divisors, whose sum is σ = 549387836928. Its totient is φ = 32736000000.

The previous prime is 144864299959. The next prime is 144864300019. The reversal of 144864300000 is 3468441.

144864300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212099659 + ... + 212100341.

It is an arithmetic number, because the mean of its divisors is an integer number (953798328).

Almost surely, 2^144864300000 is an apocalyptic number.

144864300000 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 144864300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274693918464).

144864300000 is an abundant number, since it is smaller than the sum of its proper divisors (404523536928).

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

144864300000 is an equidigital number, since it uses as much as digits as its factorization.

144864300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144864300000 its reverse (3468441), we get a palindrome (144867768441).

The spelling of 144864300000 in words is "one hundred forty-four billion, eight hundred sixty-four million, three hundred thousand".