12767418049 has 15 divisors (see below), whose sum is σ = 13519907763. Its totient is φ = 12056805072.

The previous prime is 12767418017. The next prime is 12767418089. The reversal of 12767418049 is 94081476721.

The square root of 12767418049 is 112993.

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

It can be written as a sum of positive squares in only one way, i.e., 81450625 + 12685967424 = 9025^2 + 112632^2 .

It is not a de Polignac number, because 12767418049 - 2⁵ = 12767418017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12767417993 and 12767418011.

It is not an unprimeable number, because it can be changed into a prime (12767418089) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40790317 + ... + 40790629.

Almost surely, 2^12767418049 is an apocalyptic number.

12767418049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12767418049 is the 112993-rd square number.

12767418049 is the 56497-th centered octagonal number.

It is an amenable number.

12767418049 is a deficient number, since it is larger than the sum of its proper divisors (752489714).

12767418049 is an frugal number, since it uses more digits than its factorization.

12767418049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 12767418049 by its sum of digits (49), we get a square (625603484401 = 790951²).

The spelling of 12767418049 in words is "twelve billion, seven hundred sixty-seven million, four hundred eighteen thousand, forty-nine".