268321447296 has 384 divisors, whose sum is σ = 924821352000. Its totient is φ = 74587226112.

The previous prime is 268321447279. The next prime is 268321447363. The reversal of 268321447296 is 692744123862.

It is a happy number.

268321447296 is a `hidden beast` number, since 2 + 6 + 83 + 2 + 1 + 4 + 472 + 96 = 666.

268321447296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14610856 + ... + 14629208.

Almost surely, 2^268321447296 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 268321447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462410676000).

268321447296 is an abundant number, since it is smaller than the sum of its proper divisors (656499904704).

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

268321447296 is a wasteful number, since it uses less digits than its factorization.

268321447296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18431 (or 18402 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 268321447296 in words is "two hundred sixty-eight billion, three hundred twenty-one million, four hundred forty-seven thousand, two hundred ninety-six".