338126481 has 96 divisors (see below), whose sum is σ = 669247488. Its totient is φ = 165162240.

The previous prime is 338126471. The next prime is 338126513. The reversal of 338126481 is 184621833.

338126481 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 2 + 648 + 1 = 666.

It is not a de Polignac number, because 338126481 - 2⁵ = 338126449 is a prime.

It is a super-2 number, since 2×338126481² = 228659034306886722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338126441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317556 + ... + 318618.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^338126481 is an apocalyptic number.

It is an amenable number.

338126481 is a deficient number, since it is larger than the sum of its proper divisors (331121007).

338126481 is a wasteful number, since it uses less digits than its factorization.

338126481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 338126481 is about 18388.2158188335. The cubic root of 338126481 is about 696.6688539062.

The spelling of 338126481 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, four hundred eighty-one".