18171294208000 has 416 divisors, whose sum is σ = 47261533980960. Its totient is φ = 6965873868800.

The previous prime is 18171294207991. The next prime is 18171294208003. The reversal of 18171294208000 is 80249217181.

It can be written as a sum of positive squares in 16 ways, for example, as 13980659421184 + 4190634786816 = 3739072^2 + 2047104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18171294208003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034171534 + ... + 2034180466.

It is an arithmetic number, because the mean of its divisors is an integer number (113609456685).

Almost surely, 2^{18171294208000} is an apocalyptic number.

18171294208000 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 18171294208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630766990480).

18171294208000 is an abundant number, since it is smaller than the sum of its proper divisors (29090239772960).

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

18171294208000 is an equidigital number, since it uses as much as digits as its factorization.

18171294208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 18171294208000 in words is "eighteen trillion, one hundred seventy-one billion, two hundred ninety-four million, two hundred eight thousand".