12841085234916 has 135 divisors (see below), whose sum is σ = 33964916397321. Its totient is φ = 4090632613056.

The previous prime is 12841085234903. The next prime is 12841085234933. The reversal of 12841085234916 is 61943258014821.

The square root of 12841085234916 is 3583446.

It is a perfect power (a square), and thus also a powerful number.

12841085234916 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 108 + 523 + 4 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1090449708516 + 11750635526400 = 1044246^2 + 3427920^2 .

It is a super-3 number, since 3×12841085234916³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11373857040 + ... + 11373858168.

Almost surely, 2^{12841085234916} is an apocalyptic number.

12841085234916 is the 3583446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12841085234916

12841085234916 is an abundant number, since it is smaller than the sum of its proper divisors (21123831162405).

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

12841085234916 is an frugal number, since it uses more digits than its factorization.

12841085234916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12841085234916 in words is "twelve trillion, eight hundred forty-one billion, eighty-five million, two hundred thirty-four thousand, nine hundred sixteen".