18648189000 has 768 divisors, whose sum is σ = 76220352000. Its totient is φ = 4022323200.

The previous prime is 18648188969. The next prime is 18648189017. The reversal of 18648189000 is 98184681.

18648189000 is a `hidden beast` number, since 1 + 86 + 481 + 8 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 107792914 + ... + 107793086.

It is an arithmetic number, because the mean of its divisors is an integer number (99245250).

Almost surely, 2^18648189000 is an apocalyptic number.

18648189000 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 18648189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38110176000).

18648189000 is an abundant number, since it is smaller than the sum of its proper divisors (57572163000).

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

18648189000 is a wasteful number, since it uses less digits than its factorization.

18648189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18648189000 in words is "eighteen billion, six hundred forty-eight million, one hundred eighty-nine thousand".