144115668 has 18 divisors (see below), whose sum is σ = 364292474. Its totient is φ = 48038544.

The previous prime is 144115667. The next prime is 144115679. The reversal of 144115668 is 866511441.

144115668 is a `hidden beast` number, since 1 + 441 + 156 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 42146064 = 10098^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4003213 = 144115668 / (1 + 4 + 4 + 1 + 1 + 5 + 6 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144115667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2001571 + ... + 2001642.

Almost surely, 2^144115668 is an apocalyptic number.

144115668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144115668 is an abundant number, since it is smaller than the sum of its proper divisors (220176806).

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

144115668 is a wasteful number, since it uses less digits than its factorization.

144115668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003223 (or 4003218 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 144115668 is about 12004.8185325727. The cubic root of 144115668 is about 524.2885819840.

The spelling of 144115668 in words is "one hundred forty-four million, one hundred fifteen thousand, six hundred sixty-eight".