264440201952348 has 144 divisors (see below), whose sum is σ = 691320282831360. Its totient is φ = 85172011833600.

The previous prime is 264440201952323. The next prime is 264440201952379. The reversal of 264440201952348 is 843259102044462.

264440201952348 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 4 + 0 + 201 + 95 + 2 + 348 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264440201952294 and 264440201952303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643999383 + ... + 644409873.

It is an arithmetic number, because the mean of its divisors is an integer number (4800835297440).

Almost surely, 2^{264440201952348} 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 264440201952348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345660141415680).

264440201952348 is an abundant number, since it is smaller than the sum of its proper divisors (426880080879012).

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

264440201952348 is a wasteful number, since it uses less digits than its factorization.

264440201952348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414728 (or 414723 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 264440201952348 in words is "two hundred sixty-four trillion, four hundred forty billion, two hundred one million, nine hundred fifty-two thousand, three hundred forty-eight".