268753101267 has 16 divisors (see below), whose sum is σ = 409537589760. Its totient is φ = 153569805312.

The previous prime is 268753101257. The next prime is 268753101271. The reversal of 268753101267 is 762101357862.

It is not a de Polignac number, because 268753101267 - 2¹⁵ = 268753068499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268753101257) 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, 1073683 + ... + 1300115.

It is an arithmetic number, because the mean of its divisors is an integer number (25596099360).

Almost surely, 2^268753101267 is an apocalyptic number.

268753101267 is a deficient number, since it is larger than the sum of its proper divisors (140784488493).

268753101267 is a wasteful number, since it uses less digits than its factorization.

268753101267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282962.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 268753101267 in words is "two hundred sixty-eight billion, seven hundred fifty-three million, one hundred one thousand, two hundred sixty-seven".