14222430344304 has 360 divisors, whose sum is σ = 50025683307600. Its totient is φ = 3738745092096.

The previous prime is 14222430344281. The next prime is 14222430344341. The reversal of 14222430344304 is 40344303422241.

14222430344304 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 4 + 3 + 0 + 344 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 27907972 + ... + 28413020.

It is an arithmetic number, because the mean of its divisors is an integer number (138960231410).

Almost surely, 2^{14222430344304} is an apocalyptic number.

14222430344304 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 14222430344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25012841653800).

14222430344304 is an abundant number, since it is smaller than the sum of its proper divisors (35803252963296).

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

14222430344304 is a wasteful number, since it uses less digits than its factorization.

14222430344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505397 (or 505381 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14222430344304 its reverse (40344303422241), we get a palindrome (54566733766545).

The spelling of 14222430344304 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty million, three hundred forty-four thousand, three hundred four".