253827348318 has 192 divisors, whose sum is σ = 624995205120. Its totient is φ = 74027131200.

The previous prime is 253827348293. The next prime is 253827348323. The reversal of 253827348318 is 813843728352.

253827348318 is a `hidden beast` number, since 2 + 5 + 3 + 82 + 73 + 483 + 18 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139235155 + ... + 139236977.

It is an arithmetic number, because the mean of its divisors is an integer number (3255183360).

Almost surely, 2^253827348318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253827348318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312497602560).

253827348318 is an abundant number, since it is smaller than the sum of its proper divisors (371167856802).

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

253827348318 is a wasteful number, since it uses less digits than its factorization.

253827348318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2472 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 253827348318 in words is "two hundred fifty-three billion, eight hundred twenty-seven million, three hundred forty-eight thousand, three hundred eighteen".