338635641344 has 360 divisors, whose sum is σ = 931791353724. Its totient is φ = 121772851200.

The previous prime is 338635641307. The next prime is 338635641403. The reversal of 338635641344 is 443146536833.

It can be written as a sum of positive squares in 2 ways, for example, as 236818489600 + 101817151744 = 486640^2 + 319088^2 .

It is a super-2 number, since 2×338635641344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338635641292 and 338635641301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39459134 + ... + 39467714.

Almost surely, 2^338635641344 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 338635641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465895676862).

338635641344 is an abundant number, since it is smaller than the sum of its proper divisors (593155712380).

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

338635641344 is a wasteful number, since it uses less digits than its factorization.

338635641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8614 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 50.

It can be divided in two parts, 338635 and 641344, that added together give a palindrome (979979).

The spelling of 338635641344 in words is "three hundred thirty-eight billion, six hundred thirty-five million, six hundred forty-one thousand, three hundred forty-four".