12281429664 has 288 divisors, whose sum is σ = 41013423360. Its totient is φ = 3413569536.

The previous prime is 12281429659. The next prime is 12281429683. The reversal of 12281429664 is 46692418221.

It is a happy number.

12281429664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 14637757 + ... + 14638595.

It is an arithmetic number, because the mean of its divisors is an integer number (142407720).

Almost surely, 2^12281429664 is an apocalyptic number.

12281429664 is a gapful number since it is divisible by the number (14) 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 12281429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506711680).

12281429664 is an abundant number, since it is smaller than the sum of its proper divisors (28731993696).

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

12281429664 is a wasteful number, since it uses less digits than its factorization.

12281429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1041 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12281429664 in words is "twelve billion, two hundred eighty-one million, four hundred twenty-nine thousand, six hundred sixty-four".