338704966656 has 792 divisors, whose sum is σ = 1221907292736. Its totient is φ = 88438210560.

The previous prime is 338704966609. The next prime is 338704966669. The reversal of 338704966656 is 656669407833.

It is a happy number.

It is a super-3 number, since 3×338704966656³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 338704966593 and 338704966602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689826571 + ... + 689827061.

Almost surely, 2^338704966656 is an apocalyptic number.

338704966656 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 338704966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610953646368).

338704966656 is an abundant number, since it is smaller than the sum of its proper divisors (883202326080).

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

338704966656 is a wasteful number, since it uses less digits than its factorization.

338704966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 338704966656 in words is "three hundred thirty-eight billion, seven hundred four million, nine hundred sixty-six thousand, six hundred fifty-six".