258186689649 has 128 divisors (see below), whose sum is σ = 448312320000. Its totient is φ = 143829126144.

The previous prime is 258186689611. The next prime is 258186689669. The reversal of 258186689649 is 946986681852.

It is not a de Polignac number, because 258186689649 - 2⁷ = 258186689521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258186689669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 458590642 + ... + 458591204.

It is an arithmetic number, because the mean of its divisors is an integer number (3502440000).

Almost surely, 2^258186689649 is an apocalyptic number.

It is an amenable number.

258186689649 is a deficient number, since it is larger than the sum of its proper divisors (190125630351).

258186689649 is a wasteful number, since it uses less digits than its factorization.

258186689649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 258186689649 in words is "two hundred fifty-eight billion, one hundred eighty-six million, six hundred eighty-nine thousand, six hundred forty-nine".