12627241641 has 27 divisors (see below), whose sum is σ = 21221167773. Its totient is φ = 7214218200.

The previous prime is 12627241607. The next prime is 12627241681. The reversal of 12627241641 is 14614272621.

The square root of 12627241641 is 112371.

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

12627241641 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 2 + 4 + 1 + 641 = 666.

It is not a de Polignac number, because 12627241641 - 2¹³ = 12627233449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12627241596 and 12627241605.

It is not an unprimeable number, because it can be changed into a prime (12627241681) 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, 2357116 + ... + 2362466.

Almost surely, 2^12627241641 is an apocalyptic number.

12627241641 is the 112371-st square number.

12627241641 is the 56186-th centered octagonal number.

It is an amenable number.

12627241641 is a deficient number, since it is larger than the sum of its proper divisors (8593926132).

12627241641 is an frugal number, since it uses more digits than its factorization.

12627241641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 5361 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Multiplying 12627241641 by its sum of digits (36), we get a square (454580699076 = 674226²).

The spelling of 12627241641 in words is "twelve billion, six hundred twenty-seven million, two hundred forty-one thousand, six hundred forty-one".