144424770336 has 480 divisors, whose sum is σ = 530809614720. Its totient is φ = 37424332800.

The previous prime is 144424770323. The next prime is 144424770341. The reversal of 144424770336 is 633077424441.

144424770336 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 247 + 70 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144424770291 and 144424770300.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 153479626 + ... + 153480566.

It is an arithmetic number, because the mean of its divisors is an integer number (1105853364).

Almost surely, 2^144424770336 is an apocalyptic number.

144424770336 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 144424770336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265404807360).

144424770336 is an abundant number, since it is smaller than the sum of its proper divisors (386384844384).

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

144424770336 is a wasteful number, since it uses less digits than its factorization.

144424770336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 144424770336 in words is "one hundred forty-four billion, four hundred twenty-four million, seven hundred seventy thousand, three hundred thirty-six".