14181456422112 has 384 divisors, whose sum is σ = 43067295129600. Its totient is φ = 4002451470336.

The previous prime is 14181456422071. The next prime is 14181456422123. The reversal of 14181456422112 is 21122465418141.

It is a happy number.

It is a super-2 number, since 2×14181456422112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16902808189 + ... + 16902809027.

It is an arithmetic number, because the mean of its divisors is an integer number (112154414400).

Almost surely, 2^{14181456422112} is an apocalyptic number.

14181456422112 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 14181456422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533647564800).

14181456422112 is an abundant number, since it is smaller than the sum of its proper divisors (28885838707488).

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

14181456422112 is a wasteful number, since it uses less digits than its factorization.

14181456422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1790 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The spelling of 14181456422112 in words is "fourteen trillion, one hundred eighty-one billion, four hundred fifty-six million, four hundred twenty-two thousand, one hundred twelve".