12175577649 has 9 divisors (see below), whose sum is σ = 17587423659. Its totient is φ = 8116831080.

The previous prime is 12175577611. The next prime is 12175577677. The reversal of 12175577649 is 94677557121.

The square root of 12175577649 is 110343.

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

12175577649 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 5 + 577 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79977249 + 12095600400 = 8943^2 + 109980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12175577649 - 2¹³ = 12175569457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12175577595 and 12175577604.

It is not an unprimeable number, because it can be changed into a prime (12175572649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312639 + ... + 349419.

Almost surely, 2^12175577649 is an apocalyptic number.

12175577649 is the 110343-rd square number.

12175577649 is the 55172-nd centered octagonal number.

It is an amenable number.

12175577649 is a deficient number, since it is larger than the sum of its proper divisors (5411846010).

12175577649 is an frugal number, since it uses more digits than its factorization.

12175577649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73568 (or 36784 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

It can be divided in two parts, 12175 and 577649, that added together give a square (589824 = 768²).

The spelling of 12175577649 in words is "twelve billion, one hundred seventy-five million, five hundred seventy-seven thousand, six hundred forty-nine".