338050315008 has 432 divisors, whose sum is σ = 1131162812416. Its totient is φ = 95103590400.

The previous prime is 338050314991. The next prime is 338050315027. The reversal of 338050315008 is 800513050833.

338050315008 is a `hidden beast` number, since 338 + 0 + 5 + 0 + 315 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×338050315008² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 309286110 + ... + 309287202.

Almost surely, 2^338050315008 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 338050315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565581406208).

338050315008 is an abundant number, since it is smaller than the sum of its proper divisors (793112497408).

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

338050315008 is a wasteful number, since it uses less digits than its factorization.

338050315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 338050315008 in words is "three hundred thirty-eight billion, fifty million, three hundred fifteen thousand, eight".