14424140664 has 128 divisors (see below), whose sum is σ = 40931827200. Its totient is φ = 4705309440.

The previous prime is 14424140663. The next prime is 14424140683. The reversal of 14424140664 is 46604142441.

14424140664 is a `hidden beast` number, since 1 + 4 + 4 + 241 + 406 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424140663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062117 + ... + 2069099.

It is an arithmetic number, because the mean of its divisors is an integer number (319779900).

Almost surely, 2^14424140664 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 14424140664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465913600).

14424140664 is an abundant number, since it is smaller than the sum of its proper divisors (26507686536).

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

14424140664 is a wasteful number, since it uses less digits than its factorization.

14424140664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 14424140 and 664, that added together give a square (14424804 = 3798²).

The spelling of 14424140664 in words is "fourteen billion, four hundred twenty-four million, one hundred forty thousand, six hundred sixty-four".