258443040816 has 60 divisors (see below), whose sum is σ = 723795463560. Its totient is φ = 86086471680.

The previous prime is 258443040767. The next prime is 258443040839. The reversal of 258443040816 is 618040344852.

258443040816 is a `hidden beast` number, since 25 + 84 + 430 + 40 + 81 + 6 = 666.

It is a super-3 number, since 3×258443040816³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433990 + ... + 839781.

It is an arithmetic number, because the mean of its divisors is an integer number (12063257726).

Almost surely, 2^258443040816 is an apocalyptic number.

It is an amenable number.

258443040816 is an abundant number, since it is smaller than the sum of its proper divisors (465352422744).

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

258443040816 is a wasteful number, since it uses less digits than its factorization.

258443040816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275194 (or 1275185 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 258443040816 in words is "two hundred fifty-eight billion, four hundred forty-three million, forty thousand, eight hundred sixteen".