12884784704 has 168 divisors, whose sum is σ = 30093681240. Its totient is φ = 5449973760.

The previous prime is 12884784641. The next prime is 12884784749. The reversal of 12884784704 is 40748748821.

It can be written as a sum of positive squares in 4 ways, for example, as 2102039104 + 10782745600 = 45848^2 + 103840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12769352 + ... + 12770360.

It is an arithmetic number, because the mean of its divisors is an integer number (179129055).

Almost surely, 2^12884784704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12884784704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046840620).

12884784704 is an abundant number, since it is smaller than the sum of its proper divisors (17208896536).

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

12884784704 is a wasteful number, since it uses less digits than its factorization.

12884784704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 53.

The spelling of 12884784704 in words is "twelve billion, eight hundred eighty-four million, seven hundred eighty-four thousand, seven hundred four".