2018223436320 has 1728 divisors, whose sum is σ = 9055838727936. Its totient is φ = 413588643840.

The previous prime is 2018223436289. The next prime is 2018223436417. The reversal of 2018223436320 is 236343228102.

2018223436320 is a `hidden beast` number, since 2 + 0 + 18 + 2 + 2 + 3 + 4 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×2018223436320² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3534541635 + ... + 3534542205.

It is an arithmetic number, because the mean of its divisors is an integer number (5240647412).

Almost surely, 2^{2018223436320} is an apocalyptic number.

2018223436320 is a gapful number since it is divisible by the number (20) 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 2018223436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527919363968).

2018223436320 is an abundant number, since it is smaller than the sum of its proper divisors (7037615291616).

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

2018223436320 is an equidigital number, since it uses as much as digits as its factorization.

2018223436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2018223436320 in words is "two trillion, eighteen billion, two hundred twenty-three million, four hundred thirty-six thousand, three hundred twenty".