14223213040032 has 144 divisors (see below), whose sum is σ = 41757300748800. Its totient is φ = 4587552115200.

The previous prime is 14223213040009. The next prime is 14223213040033. The reversal of 14223213040032 is 23004031232241.

14223213040032 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 321 + 304 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14223213040032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14223213039978 and 14223213040005.

It is not an unprimeable number, because it can be changed into a prime (14223213040033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73389594 + ... + 73583142.

It is an arithmetic number, because the mean of its divisors is an integer number (289981255200).

Almost surely, 2^{14223213040032} is an apocalyptic number.

14223213040032 is a gapful number since it is divisible by the number (12) 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 14223213040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878650374400).

14223213040032 is an abundant number, since it is smaller than the sum of its proper divisors (27534087708768).

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

14223213040032 is a wasteful number, since it uses less digits than its factorization.

14223213040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201827 (or 201816 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14223213040032 its reverse (23004031232241), we get a palindrome (37227244272273).

The spelling of 14223213040032 in words is "fourteen trillion, two hundred twenty-three billion, two hundred thirteen million, forty thousand, thirty-two".