144108678168 has 432 divisors, whose sum is σ = 517542409800. Its totient is φ = 36003502080.

The previous prime is 144108678163. The next prime is 144108678193. The reversal of 144108678168 is 861876801441.

144108678168 is a `hidden beast` number, since 1 + 4 + 410 + 8 + 67 + 8 + 168 = 666.

It is a super-2 number, since 2×144108678168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144108678163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11322048 + ... + 11334768.

Almost surely, 2^144108678168 is an apocalyptic number.

144108678168 is a gapful number since it is divisible by the number (18) 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 144108678168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258771204900).

144108678168 is an abundant number, since it is smaller than the sum of its proper divisors (373433731632).

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

144108678168 is a wasteful number, since it uses less digits than its factorization.

144108678168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 144108678168 in words is "one hundred forty-four billion, one hundred eight million, six hundred seventy-eight thousand, one hundred sixty-eight".