18198334319616 has 704 divisors, whose sum is σ = 59527572249600. Its totient is φ = 5446169395200.

The previous prime is 18198334319609. The next prime is 18198334319623. The reversal of 18198334319616 is 61691343389181.

It is a happy number.

18198334319616 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 8 + 3 + 3 + 4 + 3 + 1 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (18198334319609) and next prime (18198334319623).

It is a tau number, because it is divible by the number of its divisors (704).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17824029186 + ... + 17824030206.

Almost surely, 2^{18198334319616} is an apocalyptic number.

18198334319616 is a gapful number since it is divisible by the number (16) 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 18198334319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763786124800).

18198334319616 is an abundant number, since it is smaller than the sum of its proper divisors (41329237929984).

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

18198334319616 is a wasteful number, since it uses less digits than its factorization.

18198334319616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1709 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 18198334319616 in words is "eighteen trillion, one hundred ninety-eight billion, three hundred thirty-four million, three hundred nineteen thousand, six hundred sixteen".