338829038144 has 112 divisors (see below), whose sum is σ = 704881699200. Its totient is φ = 161383305216.

The previous prime is 338829038087. The next prime is 338829038159. The reversal of 338829038144 is 441830928833.

It is a super-2 number, since 2×338829038144² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 210582812 + ... + 210584420.

It is an arithmetic number, because the mean of its divisors is an integer number (6293586600).

Almost surely, 2^338829038144 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 338829038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352440849600).

338829038144 is an abundant number, since it is smaller than the sum of its proper divisors (366052661056).

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

338829038144 is a wasteful number, since it uses less digits than its factorization.

338829038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 338829038144 in words is "three hundred thirty-eight billion, eight hundred twenty-nine million, thirty-eight thousand, one hundred forty-four".