12884784705 has 24 divisors (see below), whose sum is σ = 24051599208. Its totient is φ = 6343278336.

The previous prime is 12884784641. The next prime is 12884784749. The reversal of 12884784705 is 50748748821.

12884784705 is a `hidden beast` number, since 1 + 28 + 84 + 78 + 470 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3096254736 + 9788529969 = 55644^2 + 98937^2 .

It is not a de Polignac number, because 12884784705 - 2⁶ = 12884784641 is a prime.

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, 11012052 + ... + 11013221.

It is an arithmetic number, because the mean of its divisors is an integer number (1002149967).

Almost surely, 2^12884784705 is an apocalyptic number.

12884784705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12884784705 is a deficient number, since it is larger than the sum of its proper divisors (11166814503).

12884784705 is a wasteful number, since it uses less digits than its factorization.

12884784705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22025297 (or 22025294 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 12884784705 in words is "twelve billion, eight hundred eighty-four million, seven hundred eighty-four thousand, seven hundred five".