18018106084800 has 336 divisors, whose sum is σ = 65727918937600. Its totient is φ = 4801518259200.

The previous prime is 18018106084789. The next prime is 18018106084817. The reversal of 18018106084800 is 848060181081.

18018106084800 is a `hidden beast` number, since 18 + 0 + 18 + 10 + 608 + 4 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62885865 + ... + 63171735.

Almost surely, 2^{18018106084800} is an apocalyptic number.

18018106084800 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 18018106084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32863959468800).

18018106084800 is an abundant number, since it is smaller than the sum of its proper divisors (47709812852800).

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

18018106084800 is a wasteful number, since it uses less digits than its factorization.

18018106084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287361 (or 287340 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 18018106084800 in words is "eighteen trillion, eighteen billion, one hundred six million, eighty-four thousand, eight hundred".