14323508640 has 672 divisors, whose sum is σ = 59256199296. Its totient is φ = 3202467840.

The previous prime is 14323508603. The next prime is 14323508657. The reversal of 14323508640 is 4680532341.

14323508640 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 3 + 5 + 0 + 8 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 14323508595 and 14323508604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43273275 + ... + 43273605.

It is an arithmetic number, because the mean of its divisors is an integer number (88178868).

Almost surely, 2^14323508640 is an apocalyptic number.

14323508640 is a gapful number since it is divisible by the number (10) 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 14323508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29628099648).

14323508640 is an abundant number, since it is smaller than the sum of its proper divisors (44932690656).

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

14323508640 is an equidigital number, since it uses as much as digits as its factorization.

14323508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14323508640 in words is "fourteen billion, three hundred twenty-three million, five hundred eight thousand, six hundred forty".