12414301344 has 72 divisors (see below), whose sum is σ = 35321330772. Its totient is φ = 4135971840.

The previous prime is 12414301343. The next prime is 12414301351. The reversal of 12414301344 is 44310341421.

12414301344 is a `hidden beast` number, since 1 + 2 + 4 + 14 + 301 + 344 = 666.

12414301344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9103449744 + 3310851600 = 95412^2 + 57540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12414301344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12414301343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 610054 + ... + 630074.

Almost surely, 2^12414301344 is an apocalyptic number.

It is an amenable number.

12414301344 is an abundant number, since it is smaller than the sum of its proper divisors (22907029428).

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

12414301344 is a wasteful number, since it uses less digits than its factorization.

12414301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22190 (or 22179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12414301344 its reverse (44310341421), we get a palindrome (56724642765).

The spelling of 12414301344 in words is "twelve billion, four hundred fourteen million, three hundred one thousand, three hundred forty-four".