338058865872 has 1440 divisors, whose sum is σ = 1330081119360. Its totient is φ = 81412853760.

The previous prime is 338058865861. The next prime is 338058865909. The reversal of 338058865872 is 278568850833.

It is a super-2 number, since 2×338058865872² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4072998343 + ... + 4072998425.

It is an arithmetic number, because the mean of its divisors is an integer number (923667444).

Almost surely, 2^338058865872 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 338058865872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665040559680).

338058865872 is an abundant number, since it is smaller than the sum of its proper divisors (992022253488).

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

338058865872 is a wasteful number, since it uses less digits than its factorization.

338058865872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 338058865872 in words is "three hundred thirty-eight billion, fifty-eight million, eight hundred sixty-five thousand, eight hundred seventy-two".