144460917039712 has 192 divisors, whose sum is σ = 370693513217664. Its totient is φ = 53778500812800.

The previous prime is 144460917039709. The next prime is 144460917039713. The reversal of 144460917039712 is 217930719064441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144460917039713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294452212 + ... + 294942412.

It is an arithmetic number, because the mean of its divisors is an integer number (1930695381342).

Almost surely, 2^{144460917039712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144460917039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185346756608832).

144460917039712 is an abundant number, since it is smaller than the sum of its proper divisors (226232596177952).

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

144460917039712 is a wasteful number, since it uses less digits than its factorization.

144460917039712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496201 (or 496193 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 144460917039712 in words is "one hundred forty-four trillion, four hundred sixty billion, nine hundred seventeen million, thirty-nine thousand, seven hundred twelve".