338189947172352 has 7680 divisors, whose sum is σ = 1408402656460800. Its totient is φ = 79460617420800.

The previous prime is 338189947172327. The next prime is 338189947172359. The reversal of 338189947172352 is 253271749981833.

338189947172352 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 89 + 9 + 471 + 7 + 23 + 52 = 666.

It is a super-2 number, since 2×338189947172352² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338189947172359) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9140268842478 + ... + 9140268842514.

It is an arithmetic number, because the mean of its divisors is an integer number (183385762560).

Almost surely, 2^{338189947172352} is an apocalyptic number.

338189947172352 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 338189947172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704201328230400).

338189947172352 is an abundant number, since it is smaller than the sum of its proper divisors (1070212709288448).

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

338189947172352 is a wasteful number, since it uses less digits than its factorization.

338189947172352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 338189947172352 in words is "three hundred thirty-eight trillion, one hundred eighty-nine billion, nine hundred forty-seven million, one hundred seventy-two thousand, three hundred fifty-two".