14384454336 has 560 divisors, whose sum is σ = 53029672960. Its totient is φ = 3762339840.

The previous prime is 14384454323. The next prime is 14384454361. The reversal of 14384454336 is 63345448341.

14384454336 is a `hidden beast` number, since 1 + 4 + 38 + 44 + 543 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14384454291 and 14384454300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21373296 + ... + 21373968.

Almost surely, 2^14384454336 is an apocalyptic number.

14384454336 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 14384454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514836480).

14384454336 is an abundant number, since it is smaller than the sum of its proper divisors (38645218624).

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

14384454336 is a wasteful number, since it uses less digits than its factorization.

14384454336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 735 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 14384454336 in words is "fourteen billion, three hundred eighty-four million, four hundred fifty-four thousand, three hundred thirty-six".