264408838849 has 9 divisors (see below), whose sum is σ = 265776959331. Its totient is φ = 263047732920.

The previous prime is 264408838777. The next prime is 264408838891. The reversal of 264408838849 is 948838804462.

The square root of 264408838849 is 514207.

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., 249015970225 + 15392868624 = 499015^2 + 124068^2 .

It is not a de Polignac number, because 264408838849 - 2¹³ = 264408830657 is a prime.

It is a super-2 number, since 2×264408838849² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264408838249) 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, 108496459 + ... + 108498895.

It is an arithmetic number, because the mean of its divisors is an integer number (29530773259).

Almost surely, 2^264408838849 is an apocalyptic number.

264408838849 is the 514207-th square number.

264408838849 is the 257104-th centered octagonal number.

It is an amenable number.

264408838849 is a deficient number, since it is larger than the sum of its proper divisors (1368120482).

264408838849 is an frugal number, since it uses more digits than its factorization.

264408838849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 64.

Multiplying 264408838849 by its sum of digits (64), we get a square (16922165686336 = 4113656²).

The spelling of 264408838849 in words is "two hundred sixty-four billion, four hundred eight million, eight hundred thirty-eight thousand, eight hundred forty-nine".