338248484352 has 480 divisors, whose sum is σ = 1053663811200. Its totient is φ = 104143159296.

The previous prime is 338248484311. The next prime is 338248484363. The reversal of 338248484352 is 253484842833.

338248484352 is a `hidden beast` number, since 3 + 3 + 8 + 248 + 48 + 4 + 352 = 666.

It is a super-2 number, since 2×338248484352² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646746363 + ... + 646746885.

It is an arithmetic number, because the mean of its divisors is an integer number (2195132940).

Almost surely, 2^338248484352 is an apocalyptic number.

338248484352 is a gapful number since it is divisible by the number (32) 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 338248484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526831905600).

338248484352 is an abundant number, since it is smaller than the sum of its proper divisors (715415326848).

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

338248484352 is a wasteful number, since it uses less digits than its factorization.

338248484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 719 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 338248484352 in words is "three hundred thirty-eight billion, two hundred forty-eight million, four hundred eighty-four thousand, three hundred fifty-two".