144300443412312 has 192 divisors, whose sum is σ = 434842341991200. Its totient is φ = 42857331578880.

The previous prime is 144300443412101. The next prime is 144300443412313. The reversal of 144300443412312 is 213214344003441.

144300443412312 is a `hidden beast` number, since 1 + 4 + 4 + 300 + 4 + 4 + 34 + 1 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300443412313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38199514 + ... + 41806742.

Almost surely, 2^{144300443412312} is an apocalyptic number.

144300443412312 is a gapful number since it is divisible by the number (12) 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 144300443412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217421170995600).

144300443412312 is an abundant number, since it is smaller than the sum of its proper divisors (290541898578888).

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

144300443412312 is a wasteful number, since it uses less digits than its factorization.

144300443412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608258 (or 3608251 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144300443412312 its reverse (213214344003441), we get a palindrome (357514787415753).

The spelling of 144300443412312 in words is "one hundred forty-four trillion, three hundred billion, four hundred forty-three million, four hundred twelve thousand, three hundred twelve".