339048833841 has 9 divisors (see below), whose sum is σ = 489739727659. Its totient is φ = 226031391336.

The previous prime is 339048833831. The next prime is 339048833861. The reversal of 339048833841 is 148338840933.

The square root of 339048833841 is 582279.

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

339048833841 is a `hidden beast` number, since 3 + 3 + 90 + 488 + 3 + 38 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153801230625 + 185247603216 = 392175^2 + 430404^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 339048833841 - 2³⁷ = 201609880369 is a prime.

It is a super-2 number, since 2×339048833841² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (339048833831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1649791 + ... + 1843883.

Almost surely, 2^339048833841 is an apocalyptic number.

339048833841 is the 582279-th square number.

339048833841 is the 291140-th centered octagonal number.

It is an amenable number.

339048833841 is a deficient number, since it is larger than the sum of its proper divisors (150690893818).

339048833841 is an frugal number, since it uses more digits than its factorization.

339048833841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388192 (or 194096 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

It can be divided in two parts, 339048 and 833841, that added together give a square (1172889 = 1083²).

The spelling of 339048833841 in words is "three hundred thirty-nine billion, forty-eight million, eight hundred thirty-three thousand, eight hundred forty-one".