279090068468121 has 15 divisors (see below), whose sum is σ = 416912549104623. Its totient is φ = 186059945409480.

The previous prime is 279090068468077. The next prime is 279090068468161. The reversal of 279090068468121 is 121864860090972.

The square root of 279090068468121 is 16705989.

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

279090068468121 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 90 + 0 + 68 + 468 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6636090275721 + 272453978192400 = 2576061^2 + 16506180^2 .

It is not a de Polignac number, because 279090068468121 - 2¹¹ = 279090068466073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (279090068468161) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 149425791 + ... + 151282011.

Almost surely, 2^{279090068468121} is an apocalyptic number.

279090068468121 is the 16705989-th square number.

279090068468121 is the 8352995-th centered octagonal number.

It is an amenable number.

279090068468121 is a deficient number, since it is larger than the sum of its proper divisors (137822480636502).

279090068468121 is an frugal number, since it uses more digits than its factorization.

279090068468121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712454 (or 1856224 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 279090068468121 in words is "two hundred seventy-nine trillion, ninety billion, sixty-eight million, four hundred sixty-eight thousand, one hundred twenty-one".