268248314880 has 2112 divisors, whose sum is σ = 1251495318528. Its totient is φ = 51527024640.

The previous prime is 268248314869. The next prime is 268248314921. The reversal of 268248314880 is 88413842862.

268248314880 is a `hidden beast` number, since 2 + 6 + 8 + 248 + 314 + 8 + 80 = 666.

268248314880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3778145245 + ... + 3778145315.

Almost surely, 2^268248314880 is an apocalyptic number.

268248314880 is a gapful number since it is divisible by the number (20) 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 268248314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625747659264).

268248314880 is an abundant number, since it is smaller than the sum of its proper divisors (983247003648).

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

268248314880 is a wasteful number, since it uses less digits than its factorization.

268248314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 268248314880 in words is "two hundred sixty-eight billion, two hundred forty-eight million, three hundred fourteen thousand, eight hundred eighty".