338352520329 has 28 divisors (see below), whose sum is σ = 507407294196. Its totient is φ = 225519178752.

The previous prime is 338352520273. The next prime is 338352520343. The reversal of 338352520329 is 923025253833.

338352520329 is a `hidden beast` number, since 3 + 3 + 83 + 525 + 20 + 3 + 29 = 666.

338352520329 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27339961104 + 311012559225 = 165348^2 + 557685^2 .

It is not a de Polignac number, because 338352520329 - 2¹² = 338352516233 is a prime.

It is a super-2 number, since 2×338352520329² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338352520399) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3463417 + ... + 3559769.

Almost surely, 2^338352520329 is an apocalyptic number.

It is an amenable number.

338352520329 is a deficient number, since it is larger than the sum of its proper divisors (169054773867).

338352520329 is an frugal number, since it uses more digits than its factorization.

338352520329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101188 (or 101173 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 338352520329 in words is "three hundred thirty-eight billion, three hundred fifty-two million, five hundred twenty thousand, three hundred twenty-nine".