338316346368 has 1584 divisors, whose sum is σ = 1386258531840. Its totient is φ = 78498201600.

The previous prime is 338316346343. The next prime is 338316346447. The reversal of 338316346368 is 863643613833.

338316346368 is a `hidden beast` number, since 3 + 3 + 83 + 163 + 46 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×338316346368² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10913430513 + ... + 10913430543.

Almost surely, 2^338316346368 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 338316346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693129265920).

338316346368 is an abundant number, since it is smaller than the sum of its proper divisors (1047942185472).

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

338316346368 is a wasteful number, since it uses less digits than its factorization.

338316346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 67 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 338316346368 in words is "three hundred thirty-eight billion, three hundred sixteen million, three hundred forty-six thousand, three hundred sixty-eight".