338259714048 has 336 divisors, whose sum is σ = 1006969823496. Its totient is φ = 109345505280.

The previous prime is 338259714043. The next prime is 338259714109. The reversal of 338259714048 is 840417952833.

It is a happy number.

338259714048 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 597 + 1 + 4 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100240625664 + 238019088384 = 316608^2 + 487872^2 .

It is a super-2 number, since 2×338259714048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338259713985 and 338259714003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338259714043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958242640 + ... + 958242992.

Almost surely, 2^338259714048 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 338259714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503484911748).

338259714048 is an abundant number, since it is smaller than the sum of its proper divisors (668710109448).

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

338259714048 is a wasteful number, since it uses less digits than its factorization.

338259714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 338259714048 in words is "three hundred thirty-eight billion, two hundred fifty-nine million, seven hundred fourteen thousand, forty-eight".