11256455465211 has 64 divisors (see below), whose sum is σ = 16794041817600. Its totient is φ = 6649450368000.

The previous prime is 11256455465201. The next prime is 11256455465287.

11256455465211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11256455465211 - 2¹⁷ = 11256455334139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11256455465201) 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 63 ways as a sum of consecutive naturals, for example, 67847020 + ... + 68012726.

It is an arithmetic number, because the mean of its divisors is an integer number (262406903400).

Almost surely, 2^{11256455465211} is an apocalyptic number.

11256455465211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11256455465211 is a deficient number, since it is larger than the sum of its proper divisors (5537586352389).

11256455465211 is a wasteful number, since it uses less digits than its factorization.

11256455465211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166140.

The product of its digits is 1440000, while the sum is 48.

The spelling of 11256455465211 in words is "eleven trillion, two hundred fifty-six billion, four hundred fifty-five million, four hundred sixty-five thousand, two hundred eleven".