338045471217 has 12 divisors (see below), whose sum is σ = 488304745344. Its totient is φ = 225355874040.

The previous prime is 338045471191. The next prime is 338045471261. The reversal of 338045471217 is 712174540833.

338045471217 is a `hidden beast` number, since 3 + 3 + 80 + 4 + 547 + 1 + 21 + 7 = 666.

It is not a de Polignac number, because 338045471217 - 2⁷ = 338045471089 is a prime.

It is a super-2 number, since 2×338045471217² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338045471287) by changing a digit.

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, 365913 + ... + 899990.

It is an arithmetic number, because the mean of its divisors is an integer number (40692062112).

Almost surely, 2^338045471217 is an apocalyptic number.

It is an amenable number.

338045471217 is a deficient number, since it is larger than the sum of its proper divisors (150259274127).

338045471217 is a wasteful number, since it uses less digits than its factorization.

338045471217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295580 (or 1295577 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 338045471217 in words is "three hundred thirty-eight billion, forty-five million, four hundred seventy-one thousand, two hundred seventeen".