144259145856 has 512 divisors, whose sum is σ = 514471680000. Its totient is φ = 38874525696.

The previous prime is 144259145843. The next prime is 144259145857. The reversal of 144259145856 is 658541952441.

It is a happy number.

144259145856 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 59 + 1 + 4 + 585 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (144259145857) 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 63 ways as a sum of consecutive naturals, for example, 130079830 + ... + 130080938.

It is an arithmetic number, because the mean of its divisors is an integer number (1004827500).

Almost surely, 2^144259145856 is an apocalyptic number.

144259145856 is a gapful number since it is divisible by the number (16) 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 144259145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257235840000).

144259145856 is an abundant number, since it is smaller than the sum of its proper divisors (370212534144).

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

144259145856 is a wasteful number, since it uses less digits than its factorization.

144259145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1423 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 144259145856 in words is "one hundred forty-four billion, two hundred fifty-nine million, one hundred forty-five thousand, eight hundred fifty-six".