1268521907349 has 16 divisors (see below), whose sum is σ = 1720072627200. Its totient is φ = 831326945136.

The previous prime is 1268521907321. The next prime is 1268521907357. The reversal of 1268521907349 is 9437091258621.

It is not a de Polignac number, because 1268521907349 - 2¹⁶ = 1268521841813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268521907369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10671162 + ... + 10789380.

It is an arithmetic number, because the mean of its divisors is an integer number (107504539200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1268521907349 = 2537043814698, but 3⋅1268521907349 = 3805565722047 is not.

Almost surely, 2^{1268521907349} is an apocalyptic number.

It is an amenable number.

1268521907349 is a deficient number, since it is larger than the sum of its proper divisors (451550719851).

1268521907349 is a wasteful number, since it uses less digits than its factorization.

1268521907349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178904.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1268521907349 in words is "one trillion, two hundred sixty-eight billion, five hundred twenty-one million, nine hundred seven thousand, three hundred forty-nine".