12008481408 has 576 divisors, whose sum is σ = 44921909760. Its totient is φ = 3010867200.

The previous prime is 12008481391. The next prime is 12008481409. The reversal of 12008481408 is 80418480021.

It is a happy number.

12008481408 is a `hidden beast` number, since 1 + 200 + 8 + 48 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12008481409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30247866 + ... + 30248262.

Almost surely, 2^12008481408 is an apocalyptic number.

12008481408 is a gapful number since it is divisible by the number (18) 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 12008481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22460954880).

12008481408 is an abundant number, since it is smaller than the sum of its proper divisors (32913428352).

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

12008481408 is a wasteful number, since it uses less digits than its factorization.

12008481408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12008481408 in words is "twelve billion, eight million, four hundred eighty-one thousand, four hundred eight".