6218441228160 has 2304 divisors, whose sum is σ = 28633992791040. Its totient is φ = 1278972592128.

The previous prime is 6218441228117. The next prime is 6218441228239. The reversal of 6218441228160 is 618221448126.

6218441228160 is a `hidden beast` number, since 6 + 21 + 8 + 441 + 2 + 28 + 160 = 666.

It is a super-2 number, since 2×6218441228160² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2979606637 + ... + 2979608723.

It is an arithmetic number, because the mean of its divisors is an integer number (12427948260).

Almost surely, 2^{6218441228160} is an apocalyptic number.

6218441228160 is a gapful number since it is divisible by the number (60) 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 6218441228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316996395520).

6218441228160 is an abundant number, since it is smaller than the sum of its proper divisors (22415551562880).

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

6218441228160 is a wasteful number, since it uses less digits than its factorization.

6218441228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2144 counting only the distinct ones).

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

The spelling of 6218441228160 in words is "six trillion, two hundred eighteen billion, four hundred forty-one million, two hundred twenty-eight thousand, one hundred sixty".