268551240048 has 1080 divisors, whose sum is σ = 1035789955200. Its totient is φ = 66946134528.

The previous prime is 268551240019. The next prime is 268551240049. The reversal of 268551240048 is 840042155862.

It is a junction number, because it is equal to n+sod(n) for n = 268551239985 and 268551240012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268551240049) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 611733813 + ... + 611734251.

Almost surely, 2^268551240048 is an apocalyptic number.

268551240048 is a gapful number since it is divisible by the number (28) 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 268551240048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517894977600).

268551240048 is an abundant number, since it is smaller than the sum of its proper divisors (767238715152).

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

268551240048 is a wasteful number, since it uses less digits than its factorization.

268551240048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 268551240048 in words is "two hundred sixty-eight billion, five hundred fifty-one million, two hundred forty thousand, forty-eight".