144494491836800 has 384 divisors, whose sum is σ = 433023771579840. Its totient is φ = 46509297500160.

The previous prime is 144494491836731. The next prime is 144494491836803. The reversal of 144494491836800 is 8638194494441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144494491836803) 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, 150699704 + ... + 151655496.

Almost surely, 2^{144494491836800} is an apocalyptic number.

144494491836800 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 144494491836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216511885789920).

144494491836800 is an abundant number, since it is smaller than the sum of its proper divisors (288529279743040).

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

144494491836800 is a wasteful number, since it uses less digits than its factorization.

144494491836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956238 (or 956221 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 65.

The spelling of 144494491836800 in words is "one hundred forty-four trillion, four hundred ninety-four billion, four hundred ninety-one million, eight hundred thirty-six thousand, eight hundred".