338125488000 has 256 divisors, whose sum is σ = 1136252370240. Its totient is φ = 88930713600.

The previous prime is 338125487989. The next prime is 338125488059. The reversal of 338125488000 is 884521833.

It is a super-4 number, since 4×338125488000⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455752 + ... + 3552248.

Almost surely, 2^338125488000 is an apocalyptic number.

338125488000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338125488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568126185120).

338125488000 is an abundant number, since it is smaller than the sum of its proper divisors (798126882240).

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

338125488000 is an equidigital number, since it uses as much as digits as its factorization.

338125488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96602 (or 96580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 338125488000 in words is "three hundred thirty-eight billion, one hundred twenty-five million, four hundred eighty-eight thousand".