144430926336 has 280 divisors, whose sum is σ = 442783044000. Its totient is φ = 47018797056.

The previous prime is 144430926317. The next prime is 144430926391. The reversal of 144430926336 is 633629034441.

144430926336 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 0 + 9 + 2 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144430926291 and 144430926300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16045165 + ... + 16054163.

Almost surely, 2^144430926336 is an apocalyptic number.

144430926336 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 144430926336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221391522000).

144430926336 is an abundant number, since it is smaller than the sum of its proper divisors (298352117664).

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

144430926336 is an frugal number, since it uses more digits than its factorization.

144430926336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 144430926336 in words is "one hundred forty-four billion, four hundred thirty million, nine hundred twenty-six thousand, three hundred thirty-six".