12767622458761 has 3 divisors (see below), whose sum is σ = 12767626031943. Its totient is φ = 12767618885580.

The previous prime is 12767622458711. The next prime is 12767622458777. The reversal of 12767622458761 is 16785422676721.

The square root of 12767622458761 is 3573181.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 162424314361 + 12605198144400 = 403019^2 + 3550380^2 .

It is not a de Polignac number, because 12767622458761 - 2⁹ = 12767622458249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12767622458693 and 12767622458702.

It is not an unprimeable number, because it can be changed into a prime (12767622458711) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1786591 + ... + 5359771.

It is an arithmetic number, because the mean of its divisors is an integer number (4255875343981).

Almost surely, 2^{12767622458761} is an apocalyptic number.

12767622458761 is the 3573181-st square number.

12767622458761 is the 1786591-st centered octagonal number.

It is an amenable number.

12767622458761 is a deficient number, since it is larger than the sum of its proper divisors (3573182).

12767622458761 is an frugal number, since it uses more digits than its factorization.

12767622458761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146362 (or 3573181 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 64.

Multiplying 12767622458761 by its sum of digits (64), we get a square (817127837360704 = 28585448²).

The spelling of 12767622458761 in words is "twelve trillion, seven hundred sixty-seven billion, six hundred twenty-two million, four hundred fifty-eight thousand, seven hundred sixty-one".