12884163264 has 336 divisors, whose sum is σ = 46080070400. Its totient is φ = 3486882816.

The previous prime is 12884163241. The next prime is 12884163277. The reversal of 12884163264 is 46236148821.

12884163264 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 1 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065302 + ... + 2071530.

Almost surely, 2^12884163264 is an apocalyptic number.

12884163264 is a gapful number since it is divisible by the number (14) 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 12884163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040035200).

12884163264 is an abundant number, since it is smaller than the sum of its proper divisors (33195907136).

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

12884163264 is an equidigital number, since it uses as much as digits as its factorization.

12884163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6260 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12884163264 in words is "twelve billion, eight hundred eighty-four million, one hundred sixty-three thousand, two hundred sixty-four".