12827693806929 has 91 divisors (see below), whose sum is σ = 20444124131887. Its totient is φ = 8048749055328.

The previous prime is 12827693806903. The next prime is 12827693806987. The reversal of 12827693806929 is 92960839672821.

The square root of 12827693806929 is 3581577.

The cubic root of 12827693806929 is 23409.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

12827693806929 is a `hidden beast` number, since 12 + 82 + 76 + 9 + 380 + 6 + 92 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 130216331025 + 12697477475904 = 360855^2 + 3563352^2 .

It is not a de Polignac number, because 12827693806929 - 2²³ = 12827685418321 is a prime.

It is a super-2 number, since 2×12827693806929² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12827693806999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 754570223929 + ... + 754570223945.

Almost surely, 2^{12827693806929} is an apocalyptic number.

12827693806929 is the 3581577-th square number.

12827693806929 is the 1790789-th centered octagonal number.

It is an amenable number.

12827693806929 is a deficient number, since it is larger than the sum of its proper divisors (7616430324958).

12827693806929 is an frugal number, since it uses more digits than its factorization.

12827693806929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 12827693806929 in words is "twelve trillion, eight hundred twenty-seven billion, six hundred ninety-three million, eight hundred six thousand, nine hundred twenty-nine".