338873065128 has 160 divisors (see below), whose sum is σ = 1024019849160. Its totient is φ = 104079997440.

The previous prime is 338873065061. The next prime is 338873065133. The reversal of 338873065128 is 821560378833.

It can be written as a sum of positive squares in 4 ways, for example, as 104754500964 + 234118564164 = 323658^2 + 483858^2 .

It is a super-2 number, since 2×338873065128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4656058 + ... + 4728278.

Almost surely, 2^338873065128 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 338873065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512009924580).

338873065128 is an abundant number, since it is smaller than the sum of its proper divisors (685146784032).

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

338873065128 is a wasteful number, since it uses less digits than its factorization.

338873065128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72809 (or 72796 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 338873065128 in words is "three hundred thirty-eight billion, eight hundred seventy-three million, sixty-five thousand, one hundred twenty-eight".