14336028000 has 1152 divisors, whose sum is σ = 62962099200. Its totient is φ = 3200601600.

The previous prime is 14336027999. The next prime is 14336028017. The reversal of 14336028000 is 82063341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333395979 + ... + 333396021.

It is an arithmetic number, because the mean of its divisors is an integer number (54654600).

Almost surely, 2^14336028000 is an apocalyptic number.

14336028000 is a gapful number since it is divisible by the number (10) 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 14336028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31481049600).

14336028000 is an abundant number, since it is smaller than the sum of its proper divisors (48626071200).

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

14336028000 is an frugal number, since it uses more digits than its factorization.

14336028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14336028000 in words is "fourteen billion, three hundred thirty-six million, twenty-eight thousand".