14135114304 has 280 divisors, whose sum is σ = 44810172000. Its totient is φ = 4390170624.

The previous prime is 14135114267. The next prime is 14135114309. The reversal of 14135114304 is 40341153141.

14135114304 is a `hidden beast` number, since 1 + 4 + 1 + 351 + 1 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14135114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9428947 + ... + 9430445.

Almost surely, 2^14135114304 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 14135114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405086000).

14135114304 is an abundant number, since it is smaller than the sum of its proper divisors (30675057696).

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

14135114304 is a wasteful number, since it uses less digits than its factorization.

14135114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14135114304 its reverse (40341153141), we get a palindrome (54476267445).

The spelling of 14135114304 in words is "fourteen billion, one hundred thirty-five million, one hundred fourteen thousand, three hundred four".