18895330142208 has 1728 divisors, whose sum is σ = 64942543411200. Its totient is φ = 5477966807040.

The previous prime is 18895330142201. The next prime is 18895330142219. The reversal of 18895330142208 is 80224103359881.

18895330142208 is a `hidden beast` number, since 1 + 8 + 8 + 95 + 3 + 301 + 42 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18895330142201) 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, 148782127041 + ... + 148782127167.

It is an arithmetic number, because the mean of its divisors is an integer number (37582490400).

Almost surely, 2^{18895330142208} is an apocalyptic number.

18895330142208 is a gapful number since it is divisible by the number (18) 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 18895330142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471271705600).

18895330142208 is an abundant number, since it is smaller than the sum of its proper divisors (46047213268992).

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

18895330142208 is a wasteful number, since it uses less digits than its factorization.

18895330142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18895330142208 in words is "eighteen trillion, eight hundred ninety-five billion, three hundred thirty million, one hundred forty-two thousand, two hundred eight".