338068394664 has 256 divisors, whose sum is σ = 1137242695680. Its totient is φ = 80879109120.

The previous prime is 338068394647. The next prime is 338068394693. The reversal of 338068394664 is 466493860833.

It is a happy number.

It is a super-2 number, since 2×338068394664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338068394598 and 338068394607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11204142 + ... + 11234274.

It is an arithmetic number, because the mean of its divisors is an integer number (4442354280).

Almost surely, 2^338068394664 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 338068394664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568621347840).

338068394664 is an abundant number, since it is smaller than the sum of its proper divisors (799174301016).

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

338068394664 is a wasteful number, since it uses less digits than its factorization.

338068394664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30640 (or 30636 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 338068394664 in words is "three hundred thirty-eight billion, sixty-eight million, three hundred ninety-four thousand, six hundred sixty-four".