11806884432 has 160 divisors (see below), whose sum is σ = 38835014400. Its totient is φ = 3364388352.

The previous prime is 11806884413. The next prime is 11806884433. The reversal of 11806884432 is 23448860811.

11806884432 is a `hidden beast` number, since 1 + 1 + 80 + 68 + 84 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806884433) 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 31 ways as a sum of consecutive naturals, for example, 1171318 + ... + 1181354.

It is an arithmetic number, because the mean of its divisors is an integer number (242718840).

Almost surely, 2^11806884432 is an apocalyptic number.

11806884432 is a gapful number since it is divisible by the number (12) 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 11806884432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417507200).

11806884432 is an abundant number, since it is smaller than the sum of its proper divisors (27028129968).

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

11806884432 is a wasteful number, since it uses less digits than its factorization.

11806884432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

It can be divided in two parts, 118068 and 84432, that added together give a square (202500 = 450²).

The spelling of 11806884432 in words is "eleven billion, eight hundred six million, eight hundred eighty-four thousand, four hundred thirty-two".