264546116540649 has 24 divisors (see below), whose sum is σ = 405800536326120. Its totient is φ = 165497169051648.

The previous prime is 264546116540647. The next prime is 264546116540743. The reversal of 264546116540649 is 946045611645462.

264546116540649 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 4 + 61 + 165 + 406 + 4 + 9 = 666.

264546116540649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38693911116249 + 225852205424400 = 6220443^2 + 15028380^2 .

It is not a de Polignac number, because 264546116540649 - 2¹ = 264546116540647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264546116540647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2565318744 + ... + 2565421865.

It is an arithmetic number, because the mean of its divisors is an integer number (16908355680255).

Almost surely, 2^{264546116540649} is an apocalyptic number.

It is an amenable number.

264546116540649 is a deficient number, since it is larger than the sum of its proper divisors (141254419785471).

264546116540649 is a wasteful number, since it uses less digits than its factorization.

264546116540649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130740969 (or 5130740966 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 264546116540649 in words is "two hundred sixty-four trillion, five hundred forty-six billion, one hundred sixteen million, five hundred forty thousand, six hundred forty-nine".