2216654561664 has 96 divisors (see below), whose sum is σ = 6468494844240. Its totient is φ = 728477998080.

The previous prime is 2216654561657. The next prime is 2216654561689. The reversal of 2216654561664 is 4661654566122.

2216654561664 is a `hidden beast` number, since 2 + 2 + 16 + 6 + 5 + 4 + 5 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2216654561664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13468767 + ... + 13632350.

Almost surely, 2^{2216654561664} is an apocalyptic number.

2216654561664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2216654561664 is an abundant number, since it is smaller than the sum of its proper divisors (4251840282576).

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

2216654561664 is a wasteful number, since it uses less digits than its factorization.

2216654561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27101208 (or 27101193 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 2216654561664 in words is "two trillion, two hundred sixteen billion, six hundred fifty-four million, five hundred sixty-one thousand, six hundred sixty-four".