14105200000 has 192 divisors, whose sum is σ = 35498509200. Its totient is φ = 5582080000.

The previous prime is 14105199989. The next prime is 14105200013. The reversal of 14105200000 is 250141.

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 23 ways as a sum of consecutive naturals, for example, 71599902 + ... + 71600098.

Almost surely, 2^14105200000 is an apocalyptic number.

14105200000 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 14105200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749254600).

14105200000 is an abundant number, since it is smaller than the sum of its proper divisors (21393309200).

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

14105200000 is an frugal number, since it uses more digits than its factorization.

14105200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 14105200000 its reverse (250141), we get a palindrome (14105450141).

The spelling of 14105200000 in words is "fourteen billion, one hundred five million, two hundred thousand".