11220905456643 has 32 divisors (see below), whose sum is σ = 15644737785600. Its totient is φ = 7144801163136.

The previous prime is 11220905456633. The next prime is 11220905456699. The reversal of 11220905456643 is 34665450902211.

It is a Cunningham number, because it is equal to 3349762²-1.

It is not a de Polignac number, because 11220905456643 - 2⁵ = 11220905456611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220905456592 and 11220905456601.

It is not an unprimeable number, because it can be changed into a prime (11220905456603) 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 31 ways as a sum of consecutive naturals, for example, 1674880 + ... + 5024642.

It is an arithmetic number, because the mean of its divisors is an integer number (488898055800).

Almost surely, 2^{11220905456643} is an apocalyptic number.

11220905456643 is a deficient number, since it is larger than the sum of its proper divisors (4423832328957).

11220905456643 is a wasteful number, since it uses less digits than its factorization.

11220905456643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350211.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 11220905456643 in words is "eleven trillion, two hundred twenty billion, nine hundred five million, four hundred fifty-six thousand, six hundred forty-three".