14102208000 has 320 divisors, whose sum is σ = 52102290240. Its totient is φ = 3760128000.

The previous prime is 14102207993. The next prime is 14102208007. The reversal of 14102208000 is 80220141.

It is an interprime number because it is at equal distance from previous prime (14102207993) and next prime (14102208007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102208007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1723920 + ... + 1732080.

It is an arithmetic number, because the mean of its divisors is an integer number (162819657).

Almost surely, 2^14102208000 is an apocalyptic number.

14102208000 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 14102208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051145120).

14102208000 is an abundant number, since it is smaller than the sum of its proper divisors (38000082240).

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

14102208000 is an frugal number, since it uses more digits than its factorization.

14102208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14102208000 its reverse (80220141), we get a palindrome (14182428141).

The spelling of 14102208000 in words is "fourteen billion, one hundred two million, two hundred eight thousand".