18066338301600 has 432 divisors, whose sum is σ = 67677316499520. Its totient is φ = 4700183500800.

The previous prime is 18066338301587. The next prime is 18066338301619. The reversal of 18066338301600 is 610383366081.

18066338301600 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 6 + 3 + 3 + 8 + 30 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6837061 + ... + 9103739.

It is an arithmetic number, because the mean of its divisors is an integer number (156660454860).

Almost surely, 2^{18066338301600} is an apocalyptic number.

18066338301600 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 18066338301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33838658249760).

18066338301600 is an abundant number, since it is smaller than the sum of its proper divisors (49610978197920).

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

18066338301600 is a wasteful number, since it uses less digits than its factorization.

18066338301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266755 (or 2266730 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 18066338301600 in words is "eighteen trillion, sixty-six billion, three hundred thirty-eight million, three hundred one thousand, six hundred".