14130000000 has 384 divisors, whose sum is σ = 51149283120. Its totient is φ = 3744000000.

The previous prime is 14129999999. The next prime is 14130000013. The reversal of 14130000000 is 3141.

It can be written as a sum of positive squares in 8 ways, for example, as 13666545216 + 463454784 = 116904^2 + 21528^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 89999922 + ... + 90000078.

Almost surely, 2^14130000000 is an apocalyptic number.

14130000000 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 14130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574641560).

14130000000 is an abundant number, since it is smaller than the sum of its proper divisors (37019283120).

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

14130000000 is an frugal number, since it uses more digits than its factorization.

14130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 14130000000 its reverse (3141), we get a palindrome (14130003141).

The spelling of 14130000000 in words is "fourteen billion, one hundred thirty million", and thus it is an aban number.