11400014016 has 42 divisors (see below), whose sum is σ = 32676083492. Its totient is φ = 3800004480.

The previous prime is 11400013993. The next prime is 11400014027. The reversal of 11400014016 is 61041000411.

11400014016 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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11400014016.

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 5 ways as a sum of consecutive naturals, for example, 9895270 + ... + 9896421.

Almost surely, 2^11400014016 is an apocalyptic number.

11400014016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11400014016 is an abundant number, since it is smaller than the sum of its proper divisors (21276069476).

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

11400014016 is a wasteful number, since it uses less digits than its factorization.

11400014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19791709 (or 19791696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11400014016 its reverse (61041000411), we get a palindrome (72441014427).

The spelling of 11400014016 in words is "eleven billion, four hundred million, fourteen thousand, sixteen".