14222846344896 has 1008 divisors, whose sum is σ = 52346134897056. Its totient is φ = 3804533784576.

The previous prime is 14222846344891. The next prime is 14222846344999. The reversal of 14222846344896 is 69844364822241.

It is a happy number.

14222846344896 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 284 + 6 + 344 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14222846344891) 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 143 ways as a sum of consecutive naturals, for example, 2552095966 + ... + 2552101538.

It is an arithmetic number, because the mean of its divisors is an integer number (51930689382).

Almost surely, 2^{14222846344896} is an apocalyptic number.

14222846344896 is a gapful number since it is divisible by the number (16) 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 14222846344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26173067448528).

14222846344896 is an abundant number, since it is smaller than the sum of its proper divisors (38123288552160).

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

14222846344896 is a wasteful number, since it uses less digits than its factorization.

14222846344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5799 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 14222846344896 in words is "fourteen trillion, two hundred twenty-two billion, eight hundred forty-six million, three hundred forty-four thousand, eight hundred ninety-six".