11414334432 has 48 divisors (see below), whose sum is σ = 29974205520. Its totient is φ = 3803308032.

The previous prime is 11414334403. The next prime is 11414334439. The reversal of 11414334432 is 23443341411.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11414334432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414334439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242694 + ... + 285882.

It is an arithmetic number, because the mean of its divisors is an integer number (624462615).

Almost surely, 2^11414334432 is an apocalyptic number.

11414334432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11414334432 is an abundant number, since it is smaller than the sum of its proper divisors (18559871088).

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

11414334432 is a wasteful number, since it uses less digits than its factorization.

11414334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45955 (or 45947 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 11414334432 its reverse (23443341411), we get a palindrome (34857675843).

The spelling of 11414334432 in words is "eleven billion, four hundred fourteen million, three hundred thirty-four thousand, four hundred thirty-two".