144517908348 has 120 divisors (see below), whose sum is σ = 417361486080. Its totient is φ = 43238875680.

The previous prime is 144517908317. The next prime is 144517908349. The reversal of 144517908348 is 843809715441.

144517908348 is a `hidden beast` number, since 1 + 4 + 4 + 517 + 9 + 0 + 83 + 48 = 666.

144517908348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144517908294 and 144517908303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144517908349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24915 + ... + 538197.

It is an arithmetic number, because the mean of its divisors is an integer number (3478012384).

Almost surely, 2^144517908348 is an apocalyptic number.

144517908348 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 144517908348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208680743040).

144517908348 is an abundant number, since it is smaller than the sum of its proper divisors (272843577732).

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

144517908348 is a wasteful number, since it uses less digits than its factorization.

144517908348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513389 (or 513378 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 144517908348 in words is "one hundred forty-four billion, five hundred seventeen million, nine hundred eight thousand, three hundred forty-eight".