258064646367 has 16 divisors (see below), whose sum is σ = 378810495360. Its totient is φ = 154967925600.

The previous prime is 258064646339. The next prime is 258064646377. The reversal of 258064646367 is 763646460852.

258064646367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258064646367 - 2⁷ = 258064646239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258064646377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35868609 + ... + 35875802.

It is an arithmetic number, because the mean of its divisors is an integer number (23675655960).

Almost surely, 2^258064646367 is an apocalyptic number.

258064646367 is a deficient number, since it is larger than the sum of its proper divisors (120745848993).

258064646367 is a wasteful number, since it uses less digits than its factorization.

258064646367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71744534.

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 258064646367 in words is "two hundred fifty-eight billion, sixty-four million, six hundred forty-six thousand, three hundred sixty-seven".