258466492816 has 135 divisors (see below), whose sum is σ = 593553219147. Its totient is φ = 108715400640.

The previous prime is 258466492811. The next prime is 258466492829. The reversal of 258466492816 is 618294664852.

It is a happy number.

The square root of 258466492816 is 508396.

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

258466492816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258466492811) 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 26 ways as a sum of consecutive naturals, for example, 953750761 + ... + 953751031.

Almost surely, 2^258466492816 is an apocalyptic number.

258466492816 is the 508396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258466492816

258466492816 is an abundant number, since it is smaller than the sum of its proper divisors (335086726331).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258466492816 is an frugal number, since it uses more digits than its factorization.

258466492816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 347 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 258466492816 in words is "two hundred fifty-eight billion, four hundred sixty-six million, four hundred ninety-two thousand, eight hundred sixteen".