11534439168 has 432 divisors, whose sum is σ = 39310829376. Its totient is φ = 3185049600.

The previous prime is 11534439167. The next prime is 11534439199. The reversal of 11534439168 is 86193443511.

11534439168 is a `hidden beast` number, since 1 + 1 + 53 + 4 + 439 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (11534439167) 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 47 ways as a sum of consecutive naturals, for example, 114202318 + ... + 114202418.

Almost surely, 2^11534439168 is an apocalyptic number.

11534439168 is a gapful number since it is divisible by the number (18) 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 11534439168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655414688).

11534439168 is an abundant number, since it is smaller than the sum of its proper divisors (27776390208).

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

11534439168 is a wasteful number, since it uses less digits than its factorization.

11534439168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

It can be divided in two parts, 1153443 and 9168, that added together give a palindrome (1162611).

The spelling of 11534439168 in words is "eleven billion, five hundred thirty-four million, four hundred thirty-nine thousand, one hundred sixty-eight".