18984618000 has 560 divisors, whose sum is σ = 71357598000. Its totient is φ = 4877107200.

The previous prime is 18984617957. The next prime is 18984618007. The reversal of 18984618000 is 81648981.

18984618000 is a `hidden beast` number, since 189 + 8 + 461 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4973634576 + 14010983424 = 70524^2 + 118368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18984618007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42281776 + ... + 42282224.

Almost surely, 2^18984618000 is an apocalyptic number.

18984618000 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 18984618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35678799000).

18984618000 is an abundant number, since it is smaller than the sum of its proper divisors (52372980000).

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

18984618000 is an equidigital number, since it uses as much as digits as its factorization.

18984618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 488 counting only the distinct ones).

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

The spelling of 18984618000 in words is "eighteen billion, nine hundred eighty-four million, six hundred eighteen thousand".