338161984081152 has 3456 divisors, whose sum is σ = 1255770632503296. Its totient is φ = 79705866240000.

The previous prime is 338161984081133. The next prime is 338161984081279. The reversal of 338161984081152 is 251180489161833.

It is a happy number.

It is a super-2 number, since 2×338161984081152² (a number of 30 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 383 ways as a sum of consecutive naturals, for example, 1868298254502 + ... + 1868298254682.

It is an arithmetic number, because the mean of its divisors is an integer number (363359558016).

Almost surely, 2^{338161984081152} is an apocalyptic number.

338161984081152 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 338161984081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627885316251648).

338161984081152 is an abundant number, since it is smaller than the sum of its proper divisors (917608648422144).

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

338161984081152 is a wasteful number, since it uses less digits than its factorization.

338161984081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 338161984081152 in words is "three hundred thirty-eight trillion, one hundred sixty-one billion, nine hundred eighty-four million, eighty-one thousand, one hundred fifty-two".