264175579603441 has 81 divisors (see below), whose sum is σ = 322540214108203. Its totient is φ = 216147865690240.

The previous prime is 264175579603363. The next prime is 264175579603513. The reversal of 264175579603441 is 144306975571462.

The square root of 264175579603441 is 16253479.

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

It can be written as a sum of positive squares in only one way, i.e., 205673029103025 + 58502550500416 = 14341305^2 + 7648696^2 .

It is not a de Polignac number, because 264175579603441 - 2⁹ = 264175579602929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264175579603541) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69906211290 + ... + 69906215068.

Almost surely, 2^{264175579603441} is an apocalyptic number.

264175579603441 is the 16253479-th square number.

264175579603441 is the 8126740-th centered octagonal number.

It is an amenable number.

264175579603441 is a deficient number, since it is larger than the sum of its proper divisors (58364634504762).

264175579603441 is an frugal number, since it uses more digits than its factorization.

264175579603441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 264175579603441 in words is "two hundred sixty-four trillion, one hundred seventy-five billion, five hundred seventy-nine million, six hundred three thousand, four hundred forty-one".