14442210014112 has 576 divisors, whose sum is σ = 44662820791680. Its totient is φ = 4410322255872.

The previous prime is 14442210014107. The next prime is 14442210014119. The reversal of 14442210014112 is 21141001224441.

14442210014112 is a `hidden beast` number, since 1 + 4 + 442 + 2 + 100 + 1 + 4 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (14442210014119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9146427339 + ... + 9146428917.

It is an arithmetic number, because the mean of its divisors is an integer number (77539619430).

Almost surely, 2^{14442210014112} is an apocalyptic number.

14442210014112 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 14442210014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331410395840).

14442210014112 is an abundant number, since it is smaller than the sum of its proper divisors (30220610777568).

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

14442210014112 is a wasteful number, since it uses less digits than its factorization.

14442210014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14442210014112 its reverse (21141001224441), we get a palindrome (35583211238553).

The spelling of 14442210014112 in words is "fourteen trillion, four hundred forty-two billion, two hundred ten million, fourteen thousand, one hundred twelve".