6885318272121 has 27 divisors (see below), whose sum is σ = 10182628915407. Its totient is φ = 4483242645840.

The previous prime is 6885318272111. The next prime is 6885318272153. The reversal of 6885318272121 is 1212728135886.

It is a happy number.

The square root of 6885318272121 is 2623989.

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

6885318272121 is a `hidden beast` number, since 6 + 8 + 8 + 531 + 82 + 7 + 2 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4318337519721 + 2566980752400 = 2078061^2 + 1602180^2 .

It is not a de Polignac number, because 6885318272121 - 2²⁹ = 6884781401209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6885318272111) 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, 338484411 + ... + 338504751.

Almost surely, 2^{6885318272121} is an apocalyptic number.

6885318272121 is the 2623989-th square number.

6885318272121 is the 1311995-th centered octagonal number.

It is an amenable number.

6885318272121 is a deficient number, since it is larger than the sum of its proper divisors (3297310643286).

6885318272121 is an frugal number, since it uses more digits than its factorization.

6885318272121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40774 (or 20387 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 6885318272121 in words is "six trillion, eight hundred eighty-five billion, three hundred eighteen million, two hundred seventy-two thousand, one hundred twenty-one".