264412330561 has 8 divisors (see below), whose sum is σ = 264920890248. Its totient is φ = 263904000000.

The previous prime is 264412330543. The next prime is 264412330573. The reversal of 264412330561 is 165033214462.

264412330561 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 89374689936 + 175037640625 = 298956^2 + 418375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264412330561 - 2¹⁷ = 264412199489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264412330561.

It is not an unprimeable number, because it can be changed into a prime (264412330661) 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 7 ways as a sum of consecutive naturals, for example, 2349621 + ... + 2459581.

It is an arithmetic number, because the mean of its divisors is an integer number (33115111281).

Almost surely, 2^264412330561 is an apocalyptic number.

It is an amenable number.

264412330561 is a deficient number, since it is larger than the sum of its proper divisors (508559687).

264412330561 is a wasteful number, since it uses less digits than its factorization.

264412330561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114563.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 264412330561 in words is "two hundred sixty-four billion, four hundred twelve million, three hundred thirty thousand, five hundred sixty-one".