144790316384256 has 792 divisors, whose sum is σ = 460641675784680. Its totient is φ = 45351029440512.

The previous prime is 144790316384237. The next prime is 144790316384281. The reversal of 144790316384256 is 652483613097441.

144790316384256 is a `hidden beast` number, since 1 + 4 + 47 + 9 + 0 + 3 + 163 + 8 + 425 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144790316384193 and 144790316384202.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 233910042315 + ... + 233910042933.

It is a 1-persistent number, because it is pandigital, but 2⋅144790316384256 = 289580632768512 is not.

Almost surely, 2^{144790316384256} is an apocalyptic number.

144790316384256 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 144790316384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230320837892340).

144790316384256 is an abundant number, since it is smaller than the sum of its proper divisors (315851359400424).

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

144790316384256 is an frugal number, since it uses more digits than its factorization.

144790316384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 144790316384256 in words is "one hundred forty-four trillion, seven hundred ninety billion, three hundred sixteen million, three hundred eighty-four thousand, two hundred fifty-six".