258143471341056 has 160 divisors (see below), whose sum is σ = 873282973812480. Its totient is φ = 73755277498368.

The previous prime is 258143471341037. The next prime is 258143471341081. The reversal of 258143471341056 is 650143174341852.

258143471341056 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 434 + 71 + 34 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258143471340993 and 258143471341011.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1333729866 + ... + 1333923401.

It is an arithmetic number, because the mean of its divisors is an integer number (5458018586328).

Almost surely, 2^{258143471341056} is an apocalyptic number.

It is an amenable number.

258143471341056 is an abundant number, since it is smaller than the sum of its proper divisors (615139502471424).

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

258143471341056 is an equidigital number, since it uses as much as digits as its factorization.

258143471341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667653301 (or 2667653279 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 258143471341056 in words is "two hundred fifty-eight trillion, one hundred forty-three billion, four hundred seventy-one million, three hundred forty-one thousand, fifty-six".