11224181620 has 48 divisors (see below), whose sum is σ = 24220864080. Its totient is φ = 4365978624.

The previous prime is 11224181603. The next prime is 11224181623. The reversal of 11224181620 is 2618142211.

11224181620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 156300004 + 11067881616 = 12502^2 + 105204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224181623) 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, 2111526 + ... + 2116834.

It is an arithmetic number, because the mean of its divisors is an integer number (504601335).

Almost surely, 2^11224181620 is an apocalyptic number.

11224181620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224181620 is an abundant number, since it is smaller than the sum of its proper divisors (12996682460).

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

11224181620 is a wasteful number, since it uses less digits than its factorization.

11224181620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 11224181620 in words is "eleven billion, two hundred twenty-four million, one hundred eighty-one thousand, six hundred twenty".