14450633064 has 128 divisors (see below), whose sum is σ = 46627372800. Its totient is φ = 4061041920.

The previous prime is 14450633059. The next prime is 14450633077. The reversal of 14450633064 is 46033605441.

14450633064 is a `hidden beast` number, since 14 + 4 + 5 + 0 + 633 + 0 + 6 + 4 = 666.

14450633064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 13894 + ... + 170570.

It is an arithmetic number, because the mean of its divisors is an integer number (364276350).

Almost surely, 2^14450633064 is an apocalyptic number.

14450633064 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 14450633064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313686400).

14450633064 is an abundant number, since it is smaller than the sum of its proper divisors (32176739736).

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

14450633064 is a wasteful number, since it uses less digits than its factorization.

14450633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156760 (or 156750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 14450633064 in words is "fourteen billion, four hundred fifty million, six hundred thirty-three thousand, sixty-four".