144384768 has 216 divisors, whose sum is σ = 473194176. Its totient is φ = 43545600.

The previous prime is 144384749. The next prime is 144384769. The reversal of 144384768 is 867483441.

144384768 is a `hidden beast` number, since 144 + 38 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×144384768² = 41693922460827648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144384769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684183 + ... + 684393.

Almost surely, 2^144384768 is an apocalyptic number.

144384768 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 144384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236597088).

144384768 is an abundant number, since it is smaller than the sum of its proper divisors (328809408).

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

144384768 is an equidigital number, since it uses as much as digits as its factorization.

144384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 144384768 is about 12016.0213049079. The cubic root of 144384768 is about 524.6147050582.

The spelling of 144384768 in words is "one hundred forty-four million, three hundred eighty-four thousand, seven hundred sixty-eight".