12727384462116 has 45 divisors (see below), whose sum is σ = 33272064908929. Its totient is φ = 4242440082096.

The previous prime is 12727384462103. The next prime is 12727384462127. The reversal of 12727384462116 is 61126448372721.

The square root of 12727384462116 is 3567546.

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

12727384462116 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 7 + 3 + 8 + 4 + 4 + 621 + 1 + 6 = 666.

12727384462116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11359663568100 + 1367720894016 = 3370410^2 + 1169496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64116730 + ... + 64314926.

Almost surely, 2^{12727384462116} is an apocalyptic number.

12727384462116 is the 3567546-th square number.

It is an amenable number.

12727384462116 is an abundant number, since it is smaller than the sum of its proper divisors (20544680446813).

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

12727384462116 is an frugal number, since it uses more digits than its factorization.

12727384462116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396410 (or 198202 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 12727384462116 in words is "twelve trillion, seven hundred twenty-seven billion, three hundred eighty-four million, four hundred sixty-two thousand, one hundred sixteen".