14482376064 has 192 divisors, whose sum is σ = 45452097600. Its totient is φ = 4399349760.

The previous prime is 14482376057. The next prime is 14482376101. The reversal of 14482376064 is 46067328441.

14482376064 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 2 + 37 + 606 + 4 = 666.

14482376064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1176984 + ... + 1189224.

It is an arithmetic number, because the mean of its divisors is an integer number (236729675).

Almost surely, 2^14482376064 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 14482376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726048800).

14482376064 is an abundant number, since it is smaller than the sum of its proper divisors (30969721536).

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

14482376064 is a wasteful number, since it uses less digits than its factorization.

14482376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14482376064 in words is "fourteen billion, four hundred eighty-two million, three hundred seventy-six thousand, sixty-four".