14429723616 has 480 divisors, whose sum is σ = 53322458112. Its totient is φ = 3718794240.

The previous prime is 14429723593. The next prime is 14429723653. The reversal of 14429723616 is 61632792441.

14429723616 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 9 + 7 + 23 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 39317865 + ... + 39318231.

Almost surely, 2^14429723616 is an apocalyptic number.

14429723616 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 14429723616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661229056).

14429723616 is an abundant number, since it is smaller than the sum of its proper divisors (38892734496).

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

14429723616 is a wasteful number, since it uses less digits than its factorization.

14429723616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 14429723616 in words is "fourteen billion, four hundred twenty-nine million, seven hundred twenty-three thousand, six hundred sixteen".