18428646417000 has 128 divisors (see below), whose sum is σ = 57499358492160. Its totient is φ = 4914136339200.

The previous prime is 18428646416963. The next prime is 18428646417007. The reversal of 18428646417000 is 71464682481.

It is not an unprimeable number, because it can be changed into a prime (18428646417007) 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 31 ways as a sum of consecutive naturals, for example, 104020494 + ... + 104197506.

It is an arithmetic number, because the mean of its divisors is an integer number (449213738220).

Almost surely, 2^{18428646417000} is an apocalyptic number.

18428646417000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18428646417000 is an abundant number, since it is smaller than the sum of its proper divisors (39070712075160).

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

18428646417000 is a wasteful number, since it uses less digits than its factorization.

18428646417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211740 (or 211726 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 18428646417000 in words is "eighteen trillion, four hundred twenty-eight billion, six hundred forty-six million, four hundred seventeen thousand".