2213661063168 has 480 divisors, whose sum is σ = 6803962925760. Its totient is φ = 716636160000.

The previous prime is 2213661063151. The next prime is 2213661063227. The reversal of 2213661063168 is 8613601663122.

2213661063168 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 6 + 6 + 1 + 0 + 631 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1843180968 + ... + 1843182168.

It is an arithmetic number, because the mean of its divisors is an integer number (14174922762).

Almost surely, 2^{2213661063168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213661063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401981462880).

2213661063168 is an abundant number, since it is smaller than the sum of its proper divisors (4590301862592).

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

2213661063168 is a wasteful number, since it uses less digits than its factorization.

2213661063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1518 counting only the distinct ones).

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

The spelling of 2213661063168 in words is "two trillion, two hundred thirteen billion, six hundred sixty-one million, sixty-three thousand, one hundred sixty-eight".