14411146144 has 48 divisors (see below), whose sum is σ = 29892602880. Its totient is φ = 6820070400.

The previous prime is 14411146103. The next prime is 14411146151. The reversal of 14411146144 is 44164111441.

14411146144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14411146144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689512 + ... + 710104.

It is an arithmetic number, because the mean of its divisors is an integer number (622762560).

Almost surely, 2^14411146144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14411146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946301440).

14411146144 is an abundant number, since it is smaller than the sum of its proper divisors (15481456736).

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

14411146144 is a wasteful number, since it uses less digits than its factorization.

14411146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21773 (or 21765 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

Adding to 14411146144 its reverse (44164111441), we get a palindrome (58575257585).

The spelling of 14411146144 in words is "fourteen billion, four hundred eleven million, one hundred forty-six thousand, one hundred forty-four".