144675511344 has 600 divisors, whose sum is σ = 542744793360. Its totient is φ = 36834352128.

The previous prime is 144675511301. The next prime is 144675511361. The reversal of 144675511344 is 443115576441.

144675511344 is a `hidden beast` number, since 1 + 4 + 4 + 67 + 551 + 1 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144675511344.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 23937987 + ... + 23944029.

Almost surely, 2^144675511344 is an apocalyptic number.

144675511344 is a gapful number since it is divisible by the number (14) 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 144675511344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271372396680).

144675511344 is an abundant number, since it is smaller than the sum of its proper divisors (398069282016).

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

144675511344 is a wasteful number, since it uses less digits than its factorization.

144675511344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6097 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 144675511344 in words is "one hundred forty-four billion, six hundred seventy-five million, five hundred eleven thousand, three hundred forty-four".