11216618424 has 128 divisors (see below), whose sum is σ = 34320499200. Its totient is φ = 3365902080.

The previous prime is 11216618407. The next prime is 11216618437. The reversal of 11216618424 is 42481661211.

11216618424 is a `hidden beast` number, since 1 + 1 + 2 + 16 + 618 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221812 + ... + 267644.

It is an arithmetic number, because the mean of its divisors is an integer number (268128900).

Almost surely, 2^11216618424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216618424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160249600).

11216618424 is an abundant number, since it is smaller than the sum of its proper divisors (23103880776).

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

11216618424 is a wasteful number, since it uses less digits than its factorization.

11216618424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45962 (or 45952 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 11216618424 in words is "eleven billion, two hundred sixteen million, six hundred eighteen thousand, four hundred twenty-four".