338983192224 has 72 divisors (see below), whose sum is σ = 964177119360. Its totient is φ = 112971696768.

The previous prime is 338983192199. The next prime is 338983192237. The reversal of 338983192224 is 422291389833.

338983192224 is a `hidden beast` number, since 3 + 389 + 8 + 31 + 9 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338983192224² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1349367 + ... + 1580745.

It is an arithmetic number, because the mean of its divisors is an integer number (13391348880).

Almost surely, 2^338983192224 is an apocalyptic number.

It is an amenable number.

338983192224 is an abundant number, since it is smaller than the sum of its proper divisors (625193927136).

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

338983192224 is a wasteful number, since it uses less digits than its factorization.

338983192224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236482 (or 236471 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 338983192224 in words is "three hundred thirty-eight billion, nine hundred eighty-three million, one hundred ninety-two thousand, two hundred twenty-four".