14452684064 has 288 divisors, whose sum is σ = 38513905920. Its totient is φ = 5275404288.

The previous prime is 14452684031. The next prime is 14452684069. The reversal of 14452684064 is 46048625441.

It is a happy number.

14452684064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14452684069) 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 47 ways as a sum of consecutive naturals, for example, 13595597 + ... + 13596659.

It is an arithmetic number, because the mean of its divisors is an integer number (133728840).

Almost surely, 2^14452684064 is an apocalyptic number.

14452684064 is a gapful number since it is divisible by the number (14) 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 14452684064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256952960).

14452684064 is an abundant number, since it is smaller than the sum of its proper divisors (24061221856).

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

14452684064 is a wasteful number, since it uses less digits than its factorization.

14452684064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 14452684064 in words is "fourteen billion, four hundred fifty-two million, six hundred eighty-four thousand, sixty-four".