14214000000000 has 880 divisors, whose sum is σ = 49895619890688. Its totient is φ = 3590400000000.

The previous prime is 14213999999987. The next prime is 14214000000001. The reversal of 14214000000000 is 41241.

14214000000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214000000001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137999999949 + ... + 138000000051.

Almost surely, 2^{14214000000000} is an apocalyptic number.

14214000000000 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 14214000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24947809945344).

14214000000000 is an abundant number, since it is smaller than the sum of its proper divisors (35681619890688).

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

14214000000000 is an frugal number, since it uses more digits than its factorization.

14214000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14214000000000 its reverse (41241), we get a palindrome (14214000041241).

The spelling of 14214000000000 in words is "fourteen trillion, two hundred fourteen billion", and thus it is an aban number.