268286886336 has 448 divisors, whose sum is σ = 876719112192. Its totient is φ = 70738956288.

The previous prime is 268286886311. The next prime is 268286886353. The reversal of 268286886336 is 633688682862.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 145254565 + ... + 145256411.

It is an arithmetic number, because the mean of its divisors is an integer number (1956962304).

Almost surely, 2^268286886336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268286886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438359556096).

268286886336 is an abundant number, since it is smaller than the sum of its proper divisors (608432225856).

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

268286886336 is a wasteful number, since it uses less digits than its factorization.

268286886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 268286886336 in words is "two hundred sixty-eight billion, two hundred eighty-six million, eight hundred eighty-six thousand, three hundred thirty-six".