258848391168 has 408 divisors, whose sum is σ = 796413610200. Its totient is φ = 80857792512.

The previous prime is 258848391107. The next prime is 258848391187. The reversal of 258848391168 is 861193848852.

258848391168 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 483 + 91 + 1 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152812191744 + 106036199424 = 390912^2 + 325632^2 .

It is a super-2 number, since 2×258848391168² (a number of 24 digits) contains 22 as substring.

Its product of digits (26542080) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632880948 + ... + 632881356.

Almost surely, 2^258848391168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258848391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398206805100).

258848391168 is an abundant number, since it is smaller than the sum of its proper divisors (537565219032).

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

258848391168 is an equidigital number, since it uses as much as digits as its factorization.

258848391168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 258848391168 in words is "two hundred fifty-eight billion, eight hundred forty-eight million, three hundred ninety-one thousand, one hundred sixty-eight".