144313008168 has 384 divisors, whose sum is σ = 456496128000. Its totient is φ = 37793226240.

The previous prime is 144313008149. The next prime is 144313008197. The reversal of 144313008168 is 861800313441.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91394403 + ... + 91395981.

It is an arithmetic number, because the mean of its divisors is an integer number (1188792000).

Almost surely, 2^144313008168 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 144313008168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228248064000).

144313008168 is an abundant number, since it is smaller than the sum of its proper divisors (312183119832).

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

144313008168 is a wasteful number, since it uses less digits than its factorization.

144313008168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 144313008168 in words is "one hundred forty-four billion, three hundred thirteen million, eight thousand, one hundred sixty-eight".