18098671861800 has 576 divisors, whose sum is σ = 64598390438400. Its totient is φ = 4531237286400.

The previous prime is 18098671861783. The next prime is 18098671861801. The reversal of 18098671861800 is 816817689081.

18098671861800 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 8 + 6 + 7 + 1 + 8 + 618 + 0 + 0 = 666.

It is a super-2 number, since 2×18098671861800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18098671861801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1687831239 + ... + 1687841961.

It is an arithmetic number, because the mean of its divisors is an integer number (112149983400).

Almost surely, 2^{18098671861800} is an apocalyptic number.

18098671861800 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 18098671861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32299195219200).

18098671861800 is an abundant number, since it is smaller than the sum of its proper divisors (46499718576600).

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

18098671861800 is a wasteful number, since it uses less digits than its factorization.

18098671861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 18098671861800 in words is "eighteen trillion, ninety-eight billion, six hundred seventy-one million, eight hundred sixty-one thousand, eight hundred".