11257901144689 has 2 divisors, whose sum is σ = 11257901144690. Its totient is φ = 11257901144688.

The previous prime is 11257901144641. The next prime is 11257901144741. The reversal of 11257901144689 is 98644110975211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9831328895025 + 1426572249664 = 3135495^2 + 1194392^2 .

It is a cyclic number.

It is not a de Polignac number, because 11257901144689 - 2⁹ = 11257901144177 is a prime.

It is not a weakly prime, because it can be changed into another prime (11257908144689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5628950572344 + 5628950572345.

It is an arithmetic number, because the mean of its divisors is an integer number (5628950572345).

Almost surely, 2^{11257901144689} is an apocalyptic number.

It is an amenable number.

11257901144689 is a deficient number, since it is larger than the sum of its proper divisors (1).

11257901144689 is an equidigital number, since it uses as much as digits as its factorization.

11257901144689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 11257901144689 in words is "eleven trillion, two hundred fifty-seven billion, nine hundred one million, one hundred forty-four thousand, six hundred eighty-nine".