264438663696 has 45 divisors (see below), whose sum is σ = 740078252589. Its totient is φ = 88144164288.

The previous prime is 264438663641. The next prime is 264438663763. The reversal of 264438663696 is 696366834462.

It is a happy number.

The square root of 264438663696 is 514236.

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

264438663696 is a `hidden beast` number, since 26 + 4 + 438 + 66 + 36 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 264339939600 + 98724096 = 514140^2 + 9936^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6149406 + ... + 6192258.

Almost surely, 2^264438663696 is an apocalyptic number.

264438663696 is the 514236-th square number.

It is an amenable number.

264438663696 is an abundant number, since it is smaller than the sum of its proper divisors (475639588893).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264438663696 is an frugal number, since it uses more digits than its factorization.

264438663696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85720 (or 42858 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 63.

The spelling of 264438663696 in words is "two hundred sixty-four billion, four hundred thirty-eight million, six hundred sixty-three thousand, six hundred ninety-six".