14135643324 has 144 divisors (see below), whose sum is σ = 40800614400. Its totient is φ = 4084629120.

The previous prime is 14135643323. The next prime is 14135643329. The reversal of 14135643324 is 42334653141.

14135643324 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 643 + 3 + 2 + 4 = 666.

14135643324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135643323) 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 47 ways as a sum of consecutive naturals, for example, 3176469 + ... + 3180915.

It is an arithmetic number, because the mean of its divisors is an integer number (283337600).

Almost surely, 2^14135643324 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 14135643324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400307200).

14135643324 is an abundant number, since it is smaller than the sum of its proper divisors (26664971076).

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

14135643324 is a wasteful number, since it uses less digits than its factorization.

14135643324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4835 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 14135643324 in words is "fourteen billion, one hundred thirty-five million, six hundred forty-three thousand, three hundred twenty-four".