338123482485600 has 3456 divisors, whose sum is σ = 1470933354240000. Its totient is φ = 66819155558400.

The previous prime is 338123482485599. The next prime is 338123482485637. The reversal of 338123482485600 is 6584284321833.

It is a super-2 number, since 2×338123482485600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 169146313401 + ... + 169146315399.

It is an arithmetic number, because the mean of its divisors is an integer number (425617290000).

Almost surely, 2^{338123482485600} is an apocalyptic number.

338123482485600 is a gapful number since it is divisible by the number (30) 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 338123482485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735466677120000).

338123482485600 is an abundant number, since it is smaller than the sum of its proper divisors (1132809871754400).

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

338123482485600 is a wasteful number, since it uses less digits than its factorization.

338123482485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 338123482485600 in words is "three hundred thirty-eight trillion, one hundred twenty-three billion, four hundred eighty-two million, four hundred eighty-five thousand, six hundred".