814268395248 has 320 divisors, whose sum is σ = 2682887808000. Its totient is φ = 210961981440.

The previous prime is 814268395217. The next prime is 814268395313. The reversal of 814268395248 is 842593862418.

It is a junction number, because it is equal to n+sod(n) for n = 814268395191 and 814268395200.

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 63 ways as a sum of consecutive naturals, for example, 74066040 + ... + 74077032.

It is an arithmetic number, because the mean of its divisors is an integer number (8384024400).

Almost surely, 2^814268395248 is an apocalyptic number.

814268395248 is a gapful number since it is divisible by the number (88) 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 814268395248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341443904000).

814268395248 is an abundant number, since it is smaller than the sum of its proper divisors (1868619412752).

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

814268395248 is a wasteful number, since it uses less digits than its factorization.

814268395248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11425 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The spelling of 814268395248 in words is "eight hundred fourteen billion, two hundred sixty-eight million, three hundred ninety-five thousand, two hundred forty-eight".