338955669000 has 384 divisors, whose sum is σ = 1287452275200. Its totient is φ = 79806988800.

The previous prime is 338955668983. The next prime is 338955669047. The reversal of 338955669000 is 966559833.

338955669000 is a `hidden beast` number, since 3 + 3 + 89 + 556 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×338955669000² (a number of 24 digits) contains 22 as substring.

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, 2628021 + ... + 2753979.

It is an arithmetic number, because the mean of its divisors is an integer number (3352740300).

Almost surely, 2^338955669000 is an apocalyptic number.

338955669000 is a gapful number since it is divisible by the number (30) 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 338955669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643726137600).

338955669000 is an abundant number, since it is smaller than the sum of its proper divisors (948496606200).

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

338955669000 is a wasteful number, since it uses less digits than its factorization.

338955669000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126022 (or 126005 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 338955669000 in words is "three hundred thirty-eight billion, nine hundred fifty-five million, six hundred sixty-nine thousand".