18483683328000 has 2176 divisors, whose sum is σ = 76318302228480. Its totient is φ = 4376494080000.

The previous prime is 18483683327981. The next prime is 18483683328007. The reversal of 18483683328000 is 82338638481.

18483683328000 is a `hidden beast` number, since 1 + 8 + 483 + 6 + 83 + 3 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18483683328007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 172744703947 + ... + 172744704053.

Almost surely, 2^{18483683328000} is an apocalyptic number.

18483683328000 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 18483683328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38159151114240).

18483683328000 is an abundant number, since it is smaller than the sum of its proper divisors (57834618900480).

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

18483683328000 is an equidigital number, since it uses as much as digits as its factorization.

18483683328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 18483683328000 in words is "eighteen trillion, four hundred eighty-three billion, six hundred eighty-three million, three hundred twenty-eight thousand".