11291407164289 has 16 divisors (see below), whose sum is σ = 13009518821376. Its totient is φ = 9599633269200.

The previous prime is 11291407164263. The next prime is 11291407164337. The reversal of 11291407164289 is 98246170419211.

It is a cyclic number.

It is not a de Polignac number, because 11291407164289 - 2⁷ = 11291407164161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11291407164689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276417 + ... + 4920574.

It is an arithmetic number, because the mean of its divisors is an integer number (813094926336).

Almost surely, 2^{11291407164289} is an apocalyptic number.

It is an amenable number.

11291407164289 is a deficient number, since it is larger than the sum of its proper divisors (1718111657087).

11291407164289 is a wasteful number, since it uses less digits than its factorization.

11291407164289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199116.

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 11291407164289 in words is "eleven trillion, two hundred ninety-one billion, four hundred seven million, one hundred sixty-four thousand, two hundred eighty-nine".