339858848138121 has 81 divisors (see below), whose sum is σ = 544273287727221. Its totient is φ = 204261512023296.

The previous prime is 339858848138101. The next prime is 339858848138123. The reversal of 339858848138121 is 121831848858933.

The square root of 339858848138121 is 18435261.

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

339858848138121 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 588 + 4 + 8 + 1 + 38 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159523492928121 + 180335355210000 = 12630261^2 + 13428900^2 .

It is not a de Polignac number, because 339858848138121 - 2²⁵ = 339858814583689 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 339858848138121.

It is not an unprimeable number, because it can be changed into a prime (339858848138123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30915927201 + ... + 30915938193.

Almost surely, 2^{339858848138121} is an apocalyptic number.

339858848138121 is the 18435261-st square number.

339858848138121 is the 9217631-st centered octagonal number.

It is an amenable number.

339858848138121 is a deficient number, since it is larger than the sum of its proper divisors (204414439589100).

339858848138121 is an frugal number, since it uses more digits than its factorization.

339858848138121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104 (or 11052 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 339858848138121 in words is "three hundred thirty-nine trillion, eight hundred fifty-eight billion, eight hundred forty-eight million, one hundred thirty-eight thousand, one hundred twenty-one".