258309417198 has 128 divisors (see below), whose sum is σ = 622371796992. Its totient is φ = 69876043776.

The previous prime is 258309417193. The next prime is 258309417211. The reversal of 258309417198 is 891714903852.

258309417198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258309417193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135027490 + ... + 135029402.

It is an arithmetic number, because the mean of its divisors is an integer number (4862279664).

Almost surely, 2^258309417198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258309417198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311185898496).

258309417198 is an abundant number, since it is smaller than the sum of its proper divisors (364062379794).

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

258309417198 is a wasteful number, since it uses less digits than its factorization.

258309417198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298.

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 258309417198 in words is "two hundred fifty-eight billion, three hundred nine million, four hundred seventeen thousand, one hundred ninety-eight".