338580944016 has 240 divisors, whose sum is σ = 1060132147200. Its totient is φ = 92739790080.

The previous prime is 338580944011. The next prime is 338580944027. The reversal of 338580944016 is 610449085833.

It is a super-2 number, since 2×338580944016² (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 338580944016.

It is not an unprimeable number, because it can be changed into a prime (338580944011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7779885 + ... + 7823283.

It is an arithmetic number, because the mean of its divisors is an integer number (4417217280).

Almost surely, 2^338580944016 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 338580944016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530066073600).

338580944016 is an abundant number, since it is smaller than the sum of its proper divisors (721551203184).

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

338580944016 is a wasteful number, since it uses less digits than its factorization.

338580944016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43562 (or 43549 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 338580944016 in words is "three hundred thirty-eight billion, five hundred eighty million, nine hundred forty-four thousand, sixteen".