264289590344 has 64 divisors (see below), whose sum is σ = 540892368240. Its totient is φ = 120335155200.

The previous prime is 264289590343. The next prime is 264289590353. The reversal of 264289590344 is 443095982462.

It can be written as a sum of positive squares in 8 ways, for example, as 6215430244 + 258074160100 = 78838^2 + 508010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264289590344.

It is not an unprimeable number, because it can be changed into a prime (264289590343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3115694 + ... + 3199394.

Almost surely, 2^264289590344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264289590344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270446184120).

264289590344 is an abundant number, since it is smaller than the sum of its proper divisors (276602777896).

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

264289590344 is a wasteful number, since it uses less digits than its factorization.

264289590344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84130 (or 84126 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 264289590344 in words is "two hundred sixty-four billion, two hundred eighty-nine million, five hundred ninety thousand, three hundred forty-four".