338948541657 has 90 divisors (see below), whose sum is σ = 559910584926. Its totient is φ = 204186977280.

The previous prime is 338948541647. The next prime is 338948541661. The reversal of 338948541657 is 756145849833.

338948541657 is a `hidden beast` number, since 3 + 3 + 8 + 94 + 85 + 416 + 57 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42036890841 + 296911650816 = 205029^2 + 544896^2 .

It is not a de Polignac number, because 338948541657 - 2⁸ = 338948541401 is a prime.

It is a super-2 number, since 2×338948541657² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338948541594 and 338948541603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338948541637) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 960193993 + ... + 960194345.

Almost surely, 2^338948541657 is an apocalyptic number.

It is an amenable number.

338948541657 is a deficient number, since it is larger than the sum of its proper divisors (220962043269).

338948541657 is an equidigital number, since it uses as much as digits as its factorization.

338948541657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 680 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 338948541657 in words is "three hundred thirty-eight billion, nine hundred forty-eight million, five hundred forty-one thousand, six hundred fifty-seven".