253086417198 has 24 divisors (see below), whose sum is σ = 549021845736. Its totient is φ = 84259378800.

The previous prime is 253086417197. The next prime is 253086417229. The reversal of 253086417198 is 891714680352.

253086417198 is a `hidden beast` number, since 2 + 5 + 30 + 8 + 6 + 417 + 198 = 666.

It is a super-2 number, since 2×253086417198² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253086417197) 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 11 ways as a sum of consecutive naturals, for example, 8548168 + ... + 8577723.

It is an arithmetic number, because the mean of its divisors is an integer number (22875910239).

It is a 2-persistent number, because it is pandigital, and so is 2⋅253086417198 = 506172834396, but 3⋅253086417198 = 759259251594 is not.

Almost surely, 2^253086417198 is an apocalyptic number.

253086417198 is an abundant number, since it is smaller than the sum of its proper divisors (295935428538).

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

253086417198 is a wasteful number, since it uses less digits than its factorization.

253086417198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126720 (or 17126717 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 253086417198 in words is "two hundred fifty-three billion, eighty-six million, four hundred seventeen thousand, one hundred ninety-eight".