258200331648 has 256 divisors, whose sum is σ = 846111052800. Its totient is φ = 68130349056.

The previous prime is 258200331647. The next prime is 258200331659. The reversal of 258200331648 is 846133002852.

It is a super-2 number, since 2×258200331648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258200331647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720890 + ... + 1864902.

It is an arithmetic number, because the mean of its divisors is an integer number (3305121300).

Almost surely, 2^258200331648 is an apocalyptic number.

258200331648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258200331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423055526400).

258200331648 is an abundant number, since it is smaller than the sum of its proper divisors (587910721152).

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

258200331648 is a wasteful number, since it uses less digits than its factorization.

258200331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144089 (or 144077 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 258200331648 in words is "two hundred fifty-eight billion, two hundred million, three hundred thirty-one thousand, six hundred forty-eight".