1126496946211 has 32 divisors (see below), whose sum is σ = 1400521852800. Its totient is φ = 882257356800.

The previous prime is 1126496946187. The next prime is 1126496946257.

1126496946211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1126496946211 - 2⁷ = 1126496946083 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1126496941211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46025485 + ... + 46049953.

It is an arithmetic number, because the mean of its divisors is an integer number (43766307900).

Almost surely, 2^{1126496946211} is an apocalyptic number.

1126496946211 is a deficient number, since it is larger than the sum of its proper divisors (274024906589).

1126496946211 is a wasteful number, since it uses less digits than its factorization.

1126496946211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29599.

The product of its digits is 1119744, while the sum is 52.

The spelling of 1126496946211 in words is "one trillion, one hundred twenty-six billion, four hundred ninety-six million, nine hundred forty-six thousand, two hundred eleven".