211118816424 has 64 divisors (see below), whose sum is σ = 528616468800. Its totient is φ = 70263788544.

The previous prime is 211118816341. The next prime is 211118816429. The reversal of 211118816424 is 424618811112.

211118816424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211118816424² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211118816429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60856962 + ... + 60860430.

It is an arithmetic number, because the mean of its divisors is an integer number (8259632325).

Almost surely, 2^211118816424 is an apocalyptic number.

211118816424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211118816424 is an abundant number, since it is smaller than the sum of its proper divisors (317497652376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211118816424 is a wasteful number, since it uses less digits than its factorization.

211118816424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6678 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The spelling of 211118816424 in words is "two hundred eleven billion, one hundred eighteen million, eight hundred sixteen thousand, four hundred twenty-four".