268001683281 has 6 divisors (see below), whose sum is σ = 387113542530. Its totient is φ = 178667788848.

The previous prime is 268001683253. The next prime is 268001683289. The reversal of 268001683281 is 182386100862.

268001683281 is a `hidden beast` number, since 268 + 0 + 0 + 1 + 68 + 328 + 1 = 666.

268001683281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 238965523281 + 29036160000 = 488841^2 + 170400^2 .

It is not a de Polignac number, because 268001683281 - 2¹⁰ = 268001682257 is a prime.

It is a super-2 number, since 2×268001683281² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268001683289) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 14888982396 + ... + 14888982413.

It is an arithmetic number, because the mean of its divisors is an integer number (64518923755).

Almost surely, 2^268001683281 is an apocalyptic number.

It is an amenable number.

268001683281 is a deficient number, since it is larger than the sum of its proper divisors (119111859249).

268001683281 is a wasteful number, since it uses less digits than its factorization.

268001683281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29777964815 (or 29777964812 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 268001683281 in words is "two hundred sixty-eight billion, one million, six hundred eighty-three thousand, two hundred eighty-one".