274842252386689 has 27 divisors (see below), whose sum is σ = 300732901550217. Its totient is φ = 251065972894464.

The previous prime is 274842252386591. The next prime is 274842252386701. The reversal of 274842252386689 is 986683252248472.

The square root of 274842252386689 is 16578367.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50214698130289 + 224627554256400 = 7086233^2 + 14987580^2 .

It is not a de Polignac number, because 274842252386689 - 2⁷ = 274842252386561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (274842252386789) 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, 20905314214 + ... + 20905327360.

It is an arithmetic number, because the mean of its divisors is an integer number (11138255612971).

Almost surely, 2^{274842252386689} is an apocalyptic number.

274842252386689 is the 16578367-th square number.

274842252386689 is the 8289184-th centered octagonal number.

It is an amenable number.

274842252386689 is a deficient number, since it is larger than the sum of its proper divisors (25890649163528).

274842252386689 is an frugal number, since it uses more digits than its factorization.

274842252386689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26514 (or 13257 counting only the distinct ones).

The product of its digits is 4459069440, while the sum is 76.

The spelling of 274842252386689 in words is "two hundred seventy-four trillion, eight hundred forty-two billion, two hundred fifty-two million, three hundred eighty-six thousand, six hundred eighty-nine".