12661833078288 has 30 divisors (see below), whose sum is σ = 35435546740334. Its totient is φ = 4220611026048.

The previous prime is 12661833078287. The next prime is 12661833078311. The reversal of 12661833078288 is 88287033816621.

12661833078288 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 18 + 330 + 7 + 8 + 288 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10953134440704 + 1708698637584 = 3309552^2 + 1307172^2 .

It is not an unprimeable number, because it can be changed into a prime (12661833078287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43964698045 + ... + 43964698332.

Almost surely, 2^{12661833078288} is an apocalyptic number.

12661833078288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12661833078288 is an abundant number, since it is smaller than the sum of its proper divisors (22773713662046).

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

12661833078288 is a wasteful number, since it uses less digits than its factorization.

12661833078288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87929396391 (or 87929396382 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12661833078288 in words is "twelve trillion, six hundred sixty-one billion, eight hundred thirty-three million, seventy-eight thousand, two hundred eighty-eight".