208374335021329 has 27 divisors (see below), whose sum is σ = 211934912517459. Its totient is φ = 204873270497280.

The previous prime is 208374335021309. The next prime is 208374335021341. The reversal of 208374335021329 is 923120533473802.

The square root of 208374335021329 is 14435177.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 153033352542225 + 55340982479104 = 12370665^2 + 7439152^2 .

It is not a de Polignac number, because 208374335021329 - 2⁵ = 208374335021297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208374335021309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 309620111137 + ... + 309620111809.

Almost surely, 2^{208374335021329} is an apocalyptic number.

208374335021329 is the 14435177-th square number.

208374335021329 is the 7217589-th centered octagonal number.

It is an amenable number.

208374335021329 is a deficient number, since it is larger than the sum of its proper divisors (3560577496130).

208374335021329 is an frugal number, since it uses more digits than its factorization.

208374335021329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 208374335021329 in words is "two hundred eight trillion, three hundred seventy-four billion, three hundred thirty-five million, twenty-one thousand, three hundred twenty-nine".