338434515009 has 20 divisors (see below), whose sum is σ = 506659391700. Its totient is φ = 225133564320.

The previous prime is 338434514959. The next prime is 338434515053. The reversal of 338434515009 is 900515434833.

338434515009 is a `hidden beast` number, since 33 + 84 + 34 + 5 + 1 + 500 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259671776400 + 78762738609 = 509580^2 + 280647^2 .

It is not a de Polignac number, because 338434515009 - 2⁸ = 338434514753 is a prime.

It is a super-2 number, since 2×338434515009² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338434515709) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4494334 + ... + 4569015.

It is an arithmetic number, because the mean of its divisors is an integer number (25332969585).

Almost surely, 2^338434515009 is an apocalyptic number.

It is an amenable number.

338434515009 is a deficient number, since it is larger than the sum of its proper divisors (168224876691).

338434515009 is an equidigital number, since it uses as much as digits as its factorization.

338434515009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9063822 (or 9063813 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 338434515009 in words is "three hundred thirty-eight billion, four hundred thirty-four million, five hundred fifteen thousand, nine".