338715825631488 has 1440 divisors, whose sum is σ = 1174050668609280. Its totient is φ = 96480885473280.

The previous prime is 338715825631439. The next prime is 338715825631499. The reversal of 338715825631488 is 884136528517833.

It is a happy number.

338715825631488 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 1 + 5 + 82 + 5 + 63 + 1 + 488 = 666.

It is a super-2 number, since 2×338715825631488² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12299482423 + ... + 12299509961.

It is an arithmetic number, because the mean of its divisors is an integer number (815312964312).

Almost surely, 2^{338715825631488} 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 338715825631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587025334304640).

338715825631488 is an abundant number, since it is smaller than the sum of its proper divisors (835334842977792).

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

338715825631488 is a wasteful number, since it uses less digits than its factorization.

338715825631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27685 (or 27662 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 338715825631488 in words is "three hundred thirty-eight trillion, seven hundred fifteen billion, eight hundred twenty-five million, six hundred thirty-one thousand, four hundred eighty-eight".