14224033100000 has 288 divisors, whose sum is σ = 36341960528160. Its totient is φ = 5473278720000.

The previous prime is 14224033099949. The next prime is 14224033100077. The reversal of 14224033100000 is 133042241.

14224033100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14224033100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803291147 + ... + 803308853.

It is an arithmetic number, because the mean of its divisors is an integer number (126187362945).

Almost surely, 2^{14224033100000} is an apocalyptic number.

14224033100000 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 14224033100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170980264080).

14224033100000 is an abundant number, since it is smaller than the sum of its proper divisors (22117927428160).

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

14224033100000 is an equidigital number, since it uses as much as digits as its factorization.

14224033100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14224033100000 its reverse (133042241), we get a palindrome (14224166142241).

The spelling of 14224033100000 in words is "fourteen trillion, two hundred twenty-four billion, thirty-three million, one hundred thousand".