11736432416 has 48 divisors (see below), whose sum is σ = 23645623680. Its totient is φ = 5731703040.

The previous prime is 11736432349. The next prime is 11736432419. The reversal of 11736432416 is 61423463711.

It is a self number, because there is not a number n which added to its sum of digits gives 11736432416.

It is not an unprimeable number, because it can be changed into a prime (11736432419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757871 + ... + 773201.

It is an arithmetic number, because the mean of its divisors is an integer number (492617160).

Almost surely, 2^11736432416 is an apocalyptic number.

11736432416 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 11736432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822811840).

11736432416 is an abundant number, since it is smaller than the sum of its proper divisors (11909191264).

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

11736432416 is a wasteful number, since it uses less digits than its factorization.

11736432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897 (or 15889 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The spelling of 11736432416 in words is "eleven billion, seven hundred thirty-six million, four hundred thirty-two thousand, four hundred sixteen".