14289924096 has 468 divisors, whose sum is σ = 49964379192. Its totient is φ = 4068900864.

The previous prime is 14289924091. The next prime is 14289924113. The reversal of 14289924096 is 69042998241.

14289924096 is a `hidden beast` number, since 1 + 428 + 9 + 92 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289924091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48770926 + ... + 48771218.

It is an arithmetic number, because the mean of its divisors is an integer number (106761494).

Almost surely, 2^14289924096 is an apocalyptic number.

14289924096 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 14289924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24982189596).

14289924096 is an abundant number, since it is smaller than the sum of its proper divisors (35674455096).

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

14289924096 is an frugal number, since it uses more digits than its factorization.

14289924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14289924096 in words is "fourteen billion, two hundred eighty-nine million, nine hundred twenty-four thousand, ninety-six".