12168636480 has 1680 divisors, whose sum is σ = 60038991936. Its totient is φ = 2299207680.

The previous prime is 12168636463. The next prime is 12168636509. The reversal of 12168636480 is 8463686121.

12168636480 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 8 + 636 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 181621407 + ... + 181621473.

Almost surely, 2^12168636480 is an apocalyptic number.

12168636480 is a gapful number since it is divisible by the number (10) 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 12168636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30019495968).

12168636480 is an abundant number, since it is smaller than the sum of its proper divisors (47870355456).

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

12168636480 is a wasteful number, since it uses less digits than its factorization.

12168636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12168636480 in words is "twelve billion, one hundred sixty-eight million, six hundred thirty-six thousand, four hundred eighty".