12640094094681 has 27 divisors (see below), whose sum is σ = 18291576670549. Its totient is φ = 8411221217112.

The previous prime is 12640094094659. The next prime is 12640094094689. The reversal of 12640094094681 is 18649049004621.

The square root of 12640094094681 is 3555291.

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

12640094094681 is a `hidden beast` number, since 1 + 2 + 6 + 400 + 94 + 0 + 94 + 68 + 1 = 666.

It is not a de Polignac number, because 12640094094681 - 2²⁵ = 12640060540249 is a prime.

It is a super-2 number, since 2×12640094094681² (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 (12640094094689) 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, 10868524006 + ... + 10868525168.

Almost surely, 2^{12640094094681} is an apocalyptic number.

12640094094681 is the 3555291-st square number.

12640094094681 is the 1777646-th centered octagonal number.

It is an amenable number.

12640094094681 is a deficient number, since it is larger than the sum of its proper divisors (5651482575868).

12640094094681 is an frugal number, since it uses more digits than its factorization.

12640094094681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12640094094681 in words is "twelve trillion, six hundred forty billion, ninety-four million, ninety-four thousand, six hundred eighty-one".