258847474816 has 128 divisors (see below), whose sum is σ = 625360694400. Its totient is φ = 104182628352.

The previous prime is 258847474813. The next prime is 258847474859. The reversal of 258847474816 is 618474748852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (258847474813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095150 + ... + 7131538.

It is an arithmetic number, because the mean of its divisors is an integer number (4885630425).

Almost surely, 2^258847474816 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 258847474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312680347200).

258847474816 is an abundant number, since it is smaller than the sum of its proper divisors (366513219584).

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

258847474816 is a wasteful number, since it uses less digits than its factorization.

258847474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36894 (or 36882 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 64.

The spelling of 258847474816 in words is "two hundred fifty-eight billion, eight hundred forty-seven million, four hundred seventy-four thousand, eight hundred sixteen".