338415761385 has 96 divisors (see below), whose sum is σ = 651780380160. Its totient is φ = 161390900736.

The previous prime is 338415761363. The next prime is 338415761443. The reversal of 338415761385 is 583167514833.

338415761385 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 15 + 7 + 613 + 8 + 5 = 666.

It is not a de Polignac number, because 338415761385 - 2¹² = 338415757289 is a prime.

It is a super-2 number, since 2×338415761385² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2380314 + ... + 2518476.

It is an arithmetic number, because the mean of its divisors is an integer number (6789378960).

Almost surely, 2^338415761385 is an apocalyptic number.

It is an amenable number.

338415761385 is a deficient number, since it is larger than the sum of its proper divisors (313364618775).

338415761385 is a wasteful number, since it uses less digits than its factorization.

338415761385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138319 (or 138316 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 338415761385 in words is "three hundred thirty-eight billion, four hundred fifteen million, seven hundred sixty-one thousand, three hundred eighty-five".