268007313361 has 16 divisors (see below), whose sum is σ = 274805706240. Its totient is φ = 261255447040.

The previous prime is 268007313359. The next prime is 268007313367. The reversal of 268007313361 is 163313700862.

It is a cyclic number.

It is not a de Polignac number, because 268007313361 - 2¹ = 268007313359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268007313367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57276420 + ... + 57281098.

It is an arithmetic number, because the mean of its divisors is an integer number (17175356640).

Almost surely, 2^268007313361 is an apocalyptic number.

It is an amenable number.

268007313361 is a deficient number, since it is larger than the sum of its proper divisors (6798392879).

268007313361 is a wasteful number, since it uses less digits than its factorization.

268007313361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 268007313361 in words is "two hundred sixty-eight billion, seven million, three hundred thirteen thousand, three hundred sixty-one".