264364135633 has 24 divisors (see below), whose sum is σ = 304324511400. Its totient is φ = 228012906240.

The previous prime is 264364135631. The next prime is 264364135769. The reversal of 264364135633 is 336531463462.

264364135633 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 602800704 + 263761334929 = 24552^2 + 513577^2 .

It is not a de Polignac number, because 264364135633 - 2¹ = 264364135631 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264364135631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2548 + ... + 727141.

It is an arithmetic number, because the mean of its divisors is an integer number (12680187975).

Almost surely, 2^264364135633 is an apocalyptic number.

It is an amenable number.

264364135633 is a deficient number, since it is larger than the sum of its proper divisors (39960375767).

264364135633 is a wasteful number, since it uses less digits than its factorization.

264364135633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729793 (or 729762 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 46.

The spelling of 264364135633 in words is "two hundred sixty-four billion, three hundred sixty-four million, one hundred thirty-five thousand, six hundred thirty-three".