338894129667456 has 768 divisors, whose sum is σ = 1170109532894400. Its totient is φ = 96153108480000.

The previous prime is 338894129667437. The next prime is 338894129667461. The reversal of 338894129667456 is 654766921498833.

338894129667456 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 9 + 4 + 12 + 96 + 67 + 456 = 666.

It is a super-2 number, since 2×338894129667456² (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 95 ways as a sum of consecutive naturals, for example, 1371911956 + ... + 1372158956.

Almost surely, 2^{338894129667456} is an apocalyptic number.

338894129667456 is a gapful number since it is divisible by the number (36) 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 338894129667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585054766447200).

338894129667456 is an abundant number, since it is smaller than the sum of its proper divisors (831215403226944).

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

338894129667456 is a wasteful number, since it uses less digits than its factorization.

338894129667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247256 (or 247227 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 81.

The spelling of 338894129667456 in words is "three hundred thirty-eight trillion, eight hundred ninety-four billion, one hundred twenty-nine million, six hundred sixty-seven thousand, four hundred fifty-six".