338209647452352 has 3584 divisors, whose sum is σ = 1244841512140800. Its totient is φ = 88995891511296.

The previous prime is 338209647452321. The next prime is 338209647452473. The reversal of 338209647452352 is 253254746902833.

338209647452352 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 0 + 96 + 47 + 452 + 3 + 52 = 666.

It is a super-2 number, since 2×338209647452352² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338209647452352.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2663068090113 + ... + 2663068090239.

It is an arithmetic number, because the mean of its divisors is an integer number (347333011200).

Almost surely, 2^{338209647452352} is an apocalyptic number.

338209647452352 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 338209647452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622420756070400).

338209647452352 is an abundant number, since it is smaller than the sum of its proper divisors (906631864688448).

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

338209647452352 is a wasteful number, since it uses less digits than its factorization.

338209647452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 338209647452352 in words is "three hundred thirty-eight trillion, two hundred nine billion, six hundred forty-seven million, four hundred fifty-two thousand, three hundred fifty-two".