338518967136 has 192 divisors, whose sum is σ = 1078472102400. Its totient is φ = 90817929216.

The previous prime is 338518967131. The next prime is 338518967179. The reversal of 338518967136 is 631769815833.

It is a super-2 number, since 2×338518967136² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338518967136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338518967131) 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 31 ways as a sum of consecutive naturals, for example, 1325470 + ... + 1560098.

It is an arithmetic number, because the mean of its divisors is an integer number (5617042200).

Almost surely, 2^338518967136 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 338518967136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539236051200).

338518967136 is an abundant number, since it is smaller than the sum of its proper divisors (739953135264).

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

338518967136 is a wasteful number, since it uses less digits than its factorization.

338518967136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234781 (or 234773 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 338518967136 in words is "three hundred thirty-eight billion, five hundred eighteen million, nine hundred sixty-seven thousand, one hundred thirty-six".