14321114496 has 256 divisors, whose sum is σ = 47500992000. Its totient is φ = 4214605824.

The previous prime is 14321114491. The next prime is 14321114527. The reversal of 14321114496 is 69441112341.

14321114496 is a `hidden beast` number, since 143 + 2 + 11 + 14 + 496 = 666.

14321114496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14321114496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14321114491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026415 + ... + 1040273.

It is an arithmetic number, because the mean of its divisors is an integer number (185550750).

Almost surely, 2^14321114496 is an apocalyptic number.

14321114496 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 14321114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750496000).

14321114496 is an abundant number, since it is smaller than the sum of its proper divisors (33179877504).

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

14321114496 is a wasteful number, since it uses less digits than its factorization.

14321114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 13900 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 14321114496 in words is "fourteen billion, three hundred twenty-one million, one hundred fourteen thousand, four hundred ninety-six".