2268804168000 has 560 divisors, whose sum is σ = 8402397027024. Its totient is φ = 604363161600.

The previous prime is 2268804167999. The next prime is 2268804168013. The reversal of 2268804168000 is 8614088622.

2268804168000 is a `hidden beast` number, since 22 + 68 + 80 + 416 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1756812400704 + 511991767296 = 1325448^2 + 715536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1073734944 + ... + 1073737056.

Almost surely, 2^{2268804168000} is an apocalyptic number.

2268804168000 is a gapful number since it is divisible by the number (20) 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 2268804168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201198513512).

2268804168000 is an abundant number, since it is smaller than the sum of its proper divisors (6133592859024).

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

2268804168000 is a wasteful number, since it uses less digits than its factorization.

2268804168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2268804168000 in words is "two trillion, two hundred sixty-eight billion, eight hundred four million, one hundred sixty-eight thousand".