338122717917264 has 960 divisors, whose sum is σ = 1198538145792000. Its totient is φ = 86763199610880.

The previous prime is 338122717917263. The next prime is 338122717917289. The reversal of 338122717917264 is 462719717221833.

338122717917264 is a `hidden beast` number, since 3 + 3 + 8 + 12 + 271 + 7 + 91 + 7 + 264 = 666.

It is a super-2 number, since 2×338122717917264² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338122717917263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34789862197 + ... + 34789871915.

It is an arithmetic number, because the mean of its divisors is an integer number (1248477235200).

Almost surely, 2^{338122717917264} is an apocalyptic number.

338122717917264 is a gapful number since it is divisible by the number (34) 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 338122717917264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599269072896000).

338122717917264 is an abundant number, since it is smaller than the sum of its proper divisors (860415427874736).

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

338122717917264 is a wasteful number, since it uses less digits than its factorization.

338122717917264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696 (or 10687 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 338122717917264 in words is "three hundred thirty-eight trillion, one hundred twenty-two billion, seven hundred seventeen million, nine hundred seventeen thousand, two hundred sixty-four".