14430618048 has 672 divisors, whose sum is σ = 52697530368. Its totient is φ = 3375820800.

The previous prime is 14430617969. The next prime is 14430618091. The reversal of 14430618048 is 84081603441.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 14430617997 and 14430618015.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 390016686 + ... + 390016722.

It is an arithmetic number, because the mean of its divisors is an integer number (78418944).

Almost surely, 2^14430618048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26348765184).

14430618048 is an abundant number, since it is smaller than the sum of its proper divisors (38266912320).

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

14430618048 is a wasteful number, since it uses less digits than its factorization.

14430618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 14430618048 in words is "fourteen billion, four hundred thirty million, six hundred eighteen thousand, forty-eight".