14384540664 has 96 divisors (see below), whose sum is σ = 41995961280. Its totient is φ = 4421682432.

The previous prime is 14384540663. The next prime is 14384540669. The reversal of 14384540664 is 46604548341.

14384540664 is a `hidden beast` number, since 1 + 43 + 8 + 4 + 540 + 6 + 64 = 666.

It is a super-2 number, since 2×14384540664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14384540663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1025442 + ... + 1039374.

It is an arithmetic number, because the mean of its divisors is an integer number (437457930).

Almost surely, 2^14384540664 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 14384540664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997980640).

14384540664 is an abundant number, since it is smaller than the sum of its proper divisors (27611420616).

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

14384540664 is a wasteful number, since it uses less digits than its factorization.

14384540664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15054 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14384540664 in words is "fourteen billion, three hundred eighty-four million, five hundred forty thousand, six hundred sixty-four".