12642867373761 has 27 divisors (see below), whose sum is σ = 18302857482819. Its totient is φ = 8409726028512.

The previous prime is 12642867373751. The next prime is 12642867373841. The reversal of 12642867373761 is 16737376824621.

The square root of 12642867373761 is 3555681.

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

12642867373761 is a `hidden beast` number, since 1 + 2 + 6 + 428 + 6 + 73 + 73 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2083747103361 + 10559120270400 = 1443519^2 + 3249480^2 .

It is not a de Polignac number, because 12642867373761 - 2⁹ = 12642867373249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12642867373751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6069546426 + ... + 6069548508.

Almost surely, 2^{12642867373761} is an apocalyptic number.

12642867373761 is the 3555681-st square number.

12642867373761 is the 1777841-st centered octagonal number.

It is an amenable number.

12642867373761 is a deficient number, since it is larger than the sum of its proper divisors (5659990109058).

12642867373761 is an frugal number, since it uses more digits than its factorization.

12642867373761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 2655 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 12642867373761 in words is "twelve trillion, six hundred forty-two billion, eight hundred sixty-seven million, three hundred seventy-three thousand, seven hundred sixty-one".