338565438288 has 480 divisors, whose sum is σ = 1193323622400. Its totient is φ = 87050880000.

The previous prime is 338565438283. The next prime is 338565438313. The reversal of 338565438288 is 882834565833.

338565438288 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 6 + 543 + 8 + 2 + 88 = 666.

It is a super-2 number, since 2×338565438288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338565438283) 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 95 ways as a sum of consecutive naturals, for example, 665157778 + ... + 665158286.

It is an arithmetic number, because the mean of its divisors is an integer number (2486090880).

Almost surely, 2^338565438288 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 338565438288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596661811200).

338565438288 is an abundant number, since it is smaller than the sum of its proper divisors (854758184112).

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

338565438288 is a wasteful number, since it uses less digits than its factorization.

338565438288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 338565438288 in words is "three hundred thirty-eight billion, five hundred sixty-five million, four hundred thirty-eight thousand, two hundred eighty-eight".