338067485600 has 144 divisors (see below), whose sum is σ = 889136029152. Its totient is φ = 124776668160.

The previous prime is 338067485593. The next prime is 338067485629. The reversal of 338067485600 is 6584760833.

It is a super-2 number, since 2×338067485600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37882739 + ... + 37891661.

It is an arithmetic number, because the mean of its divisors is an integer number (6174555758).

Almost surely, 2^338067485600 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 338067485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444568014576).

338067485600 is an abundant number, since it is smaller than the sum of its proper divisors (551068543552).

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

338067485600 is a wasteful number, since it uses less digits than its factorization.

338067485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 338067485600 in words is "three hundred thirty-eight billion, sixty-seven million, four hundred eighty-five thousand, six hundred".