264168244729 has 9 divisors (see below), whose sum is σ = 265617815437. Its totient is φ = 262726550464.

The previous prime is 264168244727. The next prime is 264168244733. The reversal of 264168244729 is 927442861462.

The square root of 264168244729 is 513973.

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

It can be written as a sum of positive squares in 4 ways, for example, as 90069013225 + 174099231504 = 300115^2 + 417252^2 .

It is not a de Polignac number, because 264168244729 - 2¹ = 264168244727 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 264168244729.

It is not an unprimeable number, because it can be changed into a prime (264168244723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101251377 + ... + 101253985.

Almost surely, 2^264168244729 is an apocalyptic number.

264168244729 is the 513973-rd square number.

264168244729 is the 256987-th centered octagonal number.

It is an amenable number.

264168244729 is a deficient number, since it is larger than the sum of its proper divisors (1449570708).

264168244729 is an frugal number, since it uses more digits than its factorization.

264168244729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 2806 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 264168244729 in words is "two hundred sixty-four billion, one hundred sixty-eight million, two hundred forty-four thousand, seven hundred twenty-nine".