18181404128160 has 4608 divisors, whose sum is σ = 88763351040000. Its totient is φ = 3476402012160.

The previous prime is 18181404128123. The next prime is 18181404128161. The reversal of 18181404128160 is 6182140418181.

18181404128160 is a `hidden beast` number, since 1 + 8 + 1 + 81 + 404 + 1 + 2 + 8 + 160 = 666.

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 (18181404128161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 91363839741 + ... + 91363839939.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880000).

Almost surely, 2^{18181404128160} is an apocalyptic number.

18181404128160 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 18181404128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381675520000).

18181404128160 is an abundant number, since it is smaller than the sum of its proper divisors (70581946911840).

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

18181404128160 is a wasteful number, since it uses less digits than its factorization.

18181404128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 277 counting only the distinct ones).

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

The spelling of 18181404128160 in words is "eighteen trillion, one hundred eighty-one billion, four hundred four million, one hundred twenty-eight thousand, one hundred sixty".