18223813440 has 1008 divisors, whose sum is σ = 77717324880. Its totient is φ = 3901685760.

The previous prime is 18223813423. The next prime is 18223813451. The reversal of 18223813440 is 4431832281.

It is a happy number.

18223813440 is a `hidden beast` number, since 1 + 82 + 238 + 1 + 344 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1878702336 + 16345111104 = 43344^2 + 127848^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 18223813395 and 18223813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249641244 + ... + 249641316.

Almost surely, 2^18223813440 is an apocalyptic number.

18223813440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18223813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38858662440).

18223813440 is an abundant number, since it is smaller than the sum of its proper divisors (59493511440).

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

18223813440 is a wasteful number, since it uses less digits than its factorization.

18223813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18223813440 in words is "eighteen billion, two hundred twenty-three million, eight hundred thirteen thousand, four hundred forty".