339091711000249 has 9 divisors (see below), whose sum is σ = 342417741471759. Its totient is φ = 335797680193080.

The previous prime is 339091711000243. The next prime is 339091711000291. The reversal of 339091711000249 is 942000117190933.

The square root of 339091711000249 is 18414443.

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

It can be written as a sum of positive squares in only one way, i.e., 30685428750249 + 308406282250000 = 5539443^2 + 17561500^2 .

It is not a de Polignac number, because 339091711000249 - 2¹⁵ = 339091710967481 is a prime.

It is a super-2 number, since 2×339091711000249² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (339091711000243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1896598239 + ... + 1896777019.

Almost surely, 2^{339091711000249} is an apocalyptic number.

339091711000249 is the 18414443-rd square number.

339091711000249 is the 9207222-nd centered octagonal number.

It is an amenable number.

339091711000249 is a deficient number, since it is larger than the sum of its proper divisors (3326030471510).

339091711000249 is an frugal number, since it uses more digits than its factorization.

339091711000249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357768 (or 178884 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The spelling of 339091711000249 in words is "three hundred thirty-nine trillion, ninety-one billion, seven hundred eleven million, two hundred forty-nine", and thus it is an aban number.