338656864138164 has 3072 divisors, whose sum is σ = 1202109382656000. Its totient is φ = 80791858667520.

The previous prime is 338656864138123. The next prime is 338656864138301. The reversal of 338656864138164 is 461831468656833.

338656864138164 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 56 + 86 + 413 + 81 + 6 + 4 = 666.

It is a super-2 number, since 2×338656864138164² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338656864138092 and 338656864138101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2157050089974 + ... + 2157050090130.

It is an arithmetic number, because the mean of its divisors is an integer number (391311648000).

Almost surely, 2^{338656864138164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338656864138164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601054691328000).

338656864138164 is an abundant number, since it is smaller than the sum of its proper divisors (863452518517836).

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

338656864138164 is a wasteful number, since it uses less digits than its factorization.

338656864138164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 338656864138164 in words is "three hundred thirty-eight trillion, six hundred fifty-six billion, eight hundred sixty-four million, one hundred thirty-eight thousand, one hundred sixty-four".