258442470213316 has 27 divisors (see below), whose sum is σ = 454172383910343. Its totient is φ = 128681189134080.

The previous prime is 258442470213287. The next prime is 258442470213427. The reversal of 258442470213316 is 613312074244852.

The square root of 258442470213316 is 16076146.

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 10439942588100 + 248002527625216 = 3231090^2 + 15748096^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7748685696 + ... + 7748719048.

Almost surely, 2^{258442470213316} is an apocalyptic number.

258442470213316 is the 16076146-th square number.

It is an amenable number.

258442470213316 is a deficient number, since it is larger than the sum of its proper divisors (195729913697027).

258442470213316 is an frugal number, since it uses more digits than its factorization.

258442470213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67192 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 258442470213316 in words is "two hundred fifty-eight trillion, four hundred forty-two billion, four hundred seventy million, two hundred thirteen thousand, three hundred sixteen".