11329868416 has 128 divisors (see below), whose sum is σ = 25745860800. Its totient is φ = 4932845568.

The previous prime is 11329868413. The next prime is 11329868441. The reversal of 11329868416 is 61486892311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11329868416.

It is not an unprimeable number, because it can be changed into a prime (11329868411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774606 + ... + 1780978.

Almost surely, 2^11329868416 is an apocalyptic number.

11329868416 is a gapful number since it is divisible by the number (16) 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 11329868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872930400).

11329868416 is an abundant number, since it is smaller than the sum of its proper divisors (14415992384).

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

11329868416 is a wasteful number, since it uses less digits than its factorization.

11329868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6454 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The spelling of 11329868416 in words is "eleven billion, three hundred twenty-nine million, eight hundred sixty-eight thousand, four hundred sixteen".