14063868000 has 1344 divisors, whose sum is σ = 64967640192. Its totient is φ = 2911334400.

The previous prime is 14063867999. The next prime is 14063868031. The reversal of 14063868000 is 86836041.

It is a happy number.

14063868000 is a `hidden beast` number, since 14 + 0 + 638 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 265355974 + ... + 265356026.

It is an arithmetic number, because the mean of its divisors is an integer number (48339018).

Almost surely, 2^14063868000 is an apocalyptic number.

14063868000 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 14063868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32483820096).

14063868000 is an abundant number, since it is smaller than the sum of its proper divisors (50903772192).

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

14063868000 is an equidigital number, since it uses as much as digits as its factorization.

14063868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14063868000 in words is "fourteen billion, sixty-three million, eight hundred sixty-eight thousand".