144668490814120 has 768 divisors, whose sum is σ = 458657803296000. Its totient is φ = 40449166442496.

The previous prime is 144668490814117. The next prime is 144668490814223. The reversal of 144668490814120 is 21418094866441.

144668490814120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 896993727 + ... + 897154993.

It is an arithmetic number, because the mean of its divisors is an integer number (597210681375).

Almost surely, 2^{144668490814120} is an apocalyptic number.

144668490814120 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 144668490814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229328901648000).

144668490814120 is an abundant number, since it is smaller than the sum of its proper divisors (313989312481880).

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

144668490814120 is a wasteful number, since it uses less digits than its factorization.

144668490814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161450 (or 161439 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 144668490814120 in words is "one hundred forty-four trillion, six hundred sixty-eight billion, four hundred ninety million, eight hundred fourteen thousand, one hundred twenty".