14589770064 has 80 divisors (see below), whose sum is σ = 39190586880. Its totient is φ = 4671959040.

The previous prime is 14589770053. The next prime is 14589770071. The reversal of 14589770064 is 46007798541.

14589770064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14589770064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14589769989 and 14589770016.

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 15 ways as a sum of consecutive naturals, for example, 168072 + ... + 239640.

It is an arithmetic number, because the mean of its divisors is an integer number (489882336).

Almost surely, 2^14589770064 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 14589770064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595293440).

14589770064 is an abundant number, since it is smaller than the sum of its proper divisors (24600816816).

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

14589770064 is a wasteful number, since it uses less digits than its factorization.

14589770064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71748 (or 71742 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 14589770064 in words is "fourteen billion, five hundred eighty-nine million, seven hundred seventy thousand, sixty-four".