268253140397184 has 512 divisors, whose sum is σ = 858004443417600. Its totient is φ = 82186634133504.

The previous prime is 268253140397183. The next prime is 268253140397227. The reversal of 268253140397184 is 481793041352862.

It is a happy number.

268253140397184 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 53 + 14 + 0 + 397 + 184 = 666.

It is not an unprimeable number, because it can be changed into a prime (268253140397183) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1261827922 + ... + 1262040494.

It is an arithmetic number, because the mean of its divisors is an integer number (1675789928550).

It is a 1-persistent number, because it is pandigital, but 2⋅268253140397184 = 536506280794368 is not.

Almost surely, 2^{268253140397184} is an apocalyptic number.

268253140397184 is a gapful number since it is divisible by the number (24) 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 268253140397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429002221708800).

268253140397184 is an abundant number, since it is smaller than the sum of its proper divisors (589751303020416).

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

268253140397184 is a wasteful number, since it uses less digits than its factorization.

268253140397184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213117 (or 213099 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 268253140397184 in words is "two hundred sixty-eight trillion, two hundred fifty-three billion, one hundred forty million, three hundred ninety-seven thousand, one hundred eighty-four".