12357566100889 has 9 divisors (see below), whose sum is σ = 12700714763037. Its totient is φ = 12023451275904.

The previous prime is 12357566100871. The next prime is 12357566100931. The reversal of 12357566100889 is 98800166575321.

The square root of 12357566100889 is 3515333.

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 822658070025 + 11534908030864 = 907005^2 + 3396308^2 .

It is not a de Polignac number, because 12357566100889 - 2⁹ = 12357566100377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12357566100589) 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, 130019817 + ... + 130114825.

Almost surely, 2^{12357566100889} is an apocalyptic number.

12357566100889 is the 3515333-rd square number.

12357566100889 is the 1757667-th centered octagonal number.

It is an amenable number.

12357566100889 is a deficient number, since it is larger than the sum of its proper divisors (343148662148).

12357566100889 is an frugal number, since it uses more digits than its factorization.

12357566100889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190092 (or 95046 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 12357566100889 in words is "twelve trillion, three hundred fifty-seven billion, five hundred sixty-six million, one hundred thousand, eight hundred eighty-nine".