12166578432 has 288 divisors, whose sum is σ = 37651461120. Its totient is φ = 3919104000.

The previous prime is 12166578407. The next prime is 12166578443. The reversal of 12166578432 is 23487566121.

12166578432 is a `hidden beast` number, since 1 + 2 + 166 + 57 + 8 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17355682 + ... + 17356382.

It is an arithmetic number, because the mean of its divisors is an integer number (130734240).

Almost surely, 2^12166578432 is an apocalyptic number.

12166578432 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 12166578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825730560).

12166578432 is an abundant number, since it is smaller than the sum of its proper divisors (25484882688).

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

12166578432 is an frugal number, since it uses more digits than its factorization.

12166578432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 737 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12166578432 in words is "twelve billion, one hundred sixty-six million, five hundred seventy-eight thousand, four hundred thirty-two".