14338601856 has 512 divisors, whose sum is σ = 47694873600. Its totient is φ = 4269957120.

The previous prime is 14338601801. The next prime is 14338601887. The reversal of 14338601856 is 65810683341.

14338601856 is a `hidden beast` number, since 1 + 4 + 3 + 38 + 601 + 8 + 5 + 6 = 666.

It is a congruent number.

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, 109454911 + ... + 109455041.

It is an arithmetic number, because the mean of its divisors is an integer number (93154050).

Almost surely, 2^14338601856 is an apocalyptic number.

14338601856 is a gapful number since it is divisible by the number (16) 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 14338601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23847436800).

14338601856 is an abundant number, since it is smaller than the sum of its proper divisors (33356271744).

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

14338601856 is an equidigital number, since it uses as much as digits as its factorization.

14338601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14338601856 in words is "fourteen billion, three hundred thirty-eight million, six hundred one thousand, eight hundred fifty-six".