14225200000000 has 792 divisors, whose sum is σ = 40156362252432. Its totient is φ = 4992000000000.

The previous prime is 14225199999991. The next prime is 14225200000003. The reversal of 14225200000000 is 252241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 14225200000000.

It is not an unprimeable number, because it can be changed into a prime (14225200000003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233199999970 + ... + 233200000030.

Almost surely, 2^{14225200000000} is an apocalyptic number.

14225200000000 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 14225200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078181126216).

14225200000000 is an abundant number, since it is smaller than the sum of its proper divisors (25931162252432).

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

14225200000000 is an frugal number, since it uses more digits than its factorization.

14225200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 14225200000000 its reverse (252241), we get a palindrome (14225200252241).

The spelling of 14225200000000 in words is "fourteen trillion, two hundred twenty-five billion, two hundred million", and thus it is an aban number.