2164144905216 has 484 divisors, whose sum is σ = 7417710985072. Its totient is φ = 618206183424.

The previous prime is 2164144905161. The next prime is 2164144905217. The reversal of 2164144905216 is 6125094414612.

2164144905216 is a `hidden beast` number, since 2 + 16 + 414 + 4 + 9 + 0 + 5 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164144905217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 423260676 + ... + 423265788.

Almost surely, 2^{2164144905216} 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 2164144905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708855492536).

2164144905216 is an abundant number, since it is smaller than the sum of its proper divisors (5253566079856).

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

2164144905216 is an frugal number, since it uses more digits than its factorization.

2164144905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2164144905216 in words is "two trillion, one hundred sixty-four billion, one hundred forty-four million, nine hundred five thousand, two hundred sixteen".