11205916163 has 32 divisors (see below), whose sum is σ = 13155125760. Its totient is φ = 9449256960.

The previous prime is 11205916147. The next prime is 11205916201. The reversal of 11205916163 is 36161950211.

It is a Cunningham number, because it is equal to 105858²-1.

It is not a de Polignac number, because 11205916163 - 2⁴ = 11205916147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11205916103) 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, 3915353 + ... + 3918213.

It is an arithmetic number, because the mean of its divisors is an integer number (411097680).

Almost surely, 2^11205916163 is an apocalyptic number.

11205916163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11205916163 is a deficient number, since it is larger than the sum of its proper divisors (1949209597).

11205916163 is a wasteful number, since it uses less digits than its factorization.

11205916163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 11205916163 in words is "eleven billion, two hundred five million, nine hundred sixteen thousand, one hundred sixty-three".