14338598064 has 320 divisors, whose sum is σ = 47246976000. Its totient is φ = 3653959680.

The previous prime is 14338598059. The next prime is 14338598077. The reversal of 14338598064 is 46089583341.

It is a junction number, because it is equal to n+sod(n) for n = 14338597998 and 14338598016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7589632 + ... + 7591520.

It is an arithmetic number, because the mean of its divisors is an integer number (147646800).

Almost surely, 2^14338598064 is an apocalyptic number.

14338598064 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 14338598064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488000).

14338598064 is an abundant number, since it is smaller than the sum of its proper divisors (32908377936).

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

14338598064 is a wasteful number, since it uses less digits than its factorization.

14338598064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 14338598064 in words is "fourteen billion, three hundred thirty-eight million, five hundred ninety-eight thousand, sixty-four".