18017228213800 has 72 divisors (see below), whose sum is σ = 42075430295310. Its totient is φ = 7175138761600.

The previous prime is 18017228213701. The next prime is 18017228213827. The reversal of 18017228213800 is 831282271081.

It can be written as a sum of positive squares in 3 ways, for example, as 14264414634276 + 3752813579524 = 3776826^2 + 1937218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9431670 + ... + 11179930.

Almost surely, 2^{18017228213800} is an apocalyptic number.

18017228213800 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 18017228213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037715147655).

18017228213800 is an abundant number, since it is smaller than the sum of its proper divisors (24058202081510).

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

18017228213800 is a wasteful number, since it uses less digits than its factorization.

18017228213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748731 (or 1748495 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 18017228213800 in words is "eighteen trillion, seventeen billion, two hundred twenty-eight million, two hundred thirteen thousand, eight hundred".