268620414048 has 240 divisors, whose sum is σ = 903935096064. Its totient is φ = 76657570560.

The previous prime is 268620414001. The next prime is 268620414053. The reversal of 268620414048 is 840414026862.

268620414048 is a `hidden beast` number, since 2 + 6 + 8 + 620 + 4 + 14 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268620413994 and 268620414012.

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 39 ways as a sum of consecutive naturals, for example, 16085383 + ... + 16102073.

Almost surely, 2^268620414048 is an apocalyptic number.

268620414048 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 268620414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451967548032).

268620414048 is an abundant number, since it is smaller than the sum of its proper divisors (635314682016).

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

268620414048 is a wasteful number, since it uses less digits than its factorization.

268620414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17590 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 268620414048 in words is "two hundred sixty-eight billion, six hundred twenty million, four hundred fourteen thousand, forty-eight".