18382729201000 has 32 divisors (see below), whose sum is σ = 43015586332680. Its totient is φ = 7353091680000.

The previous prime is 18382729200961. The next prime is 18382729201003. The reversal of 18382729201000 is 10292728381.

It can be written as a sum of positive squares in 4 ways, for example, as 2159024687044 + 16223704513956 = 1469362^2 + 4027866^2 .

It is not an unprimeable number, because it can be changed into a prime (18382729201003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9191363601 + ... + 9191365600.

Almost surely, 2^{18382729201000} is an apocalyptic number.

18382729201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18382729201000 is an abundant number, since it is smaller than the sum of its proper divisors (24632857131680).

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

18382729201000 is a wasteful number, since it uses less digits than its factorization.

18382729201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382729222 (or 18382729208 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 18382729201000 in words is "eighteen trillion, three hundred eighty-two billion, seven hundred twenty-nine million, two hundred one thousand".