14223441343104 has 192 divisors, whose sum is σ = 46781327736000. Its totient is φ = 4063420624896.

The previous prime is 14223441343063. The next prime is 14223441343109. The reversal of 14223441343104 is 40134314432241.

14223441343104 is a `hidden beast` number, since 1 + 4 + 2 + 234 + 413 + 4 + 3 + 1 + 0 + 4 = 666.

14223441343104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14223441343109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82642612 + ... + 82814540.

It is an arithmetic number, because the mean of its divisors is an integer number (243652748625).

Almost surely, 2^{14223441343104} is an apocalyptic number.

14223441343104 is a gapful number since it is divisible by the number (14) 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 14223441343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390663868000).

14223441343104 is an abundant number, since it is smaller than the sum of its proper divisors (32557886392896).

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

14223441343104 is a wasteful number, since it uses less digits than its factorization.

14223441343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182215 (or 182200 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14223441343104 its reverse (40134314432241), we get a palindrome (54357755775345).

The spelling of 14223441343104 in words is "fourteen trillion, two hundred twenty-three billion, four hundred forty-one million, three hundred forty-three thousand, one hundred four".