2218478165568 has 336 divisors, whose sum is σ = 7864115051520. Its totient is φ = 606291485184.

The previous prime is 2218478165567. The next prime is 2218478165593. The reversal of 2218478165568 is 8655618748122.

2218478165568 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 4 + 7 + 8 + 1 + 65 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2218478165568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2218478165567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060863 + ... + 2946881.

It is an arithmetic number, because the mean of its divisors is an integer number (23405104320).

Almost surely, 2^{2218478165568} is an apocalyptic number.

2218478165568 is a gapful number since it is divisible by the number (28) 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 2218478165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932057525760).

2218478165568 is an abundant number, since it is smaller than the sum of its proper divisors (5645636885952).

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

2218478165568 is an equidigital number, since it uses as much as digits as its factorization.

2218478165568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886076 (or 886054 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 2218478165568 in words is "two trillion, two hundred eighteen billion, four hundred seventy-eight million, one hundred sixty-five thousand, five hundred sixty-eight".