2144771966016 has 189 divisors, whose sum is σ = 6206284370871. Its totient is φ = 708163838208.

The previous prime is 2144771966011. The next prime is 2144771966021. The reversal of 2144771966016 is 6106691774412.

It is a happy number.

The square root of 2144771966016 is 1464504.

It is a perfect power (a square), and thus also a powerful number.

2144771966016 is a `hidden beast` number, since 2 + 1 + 447 + 7 + 196 + 6 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2144771966011) and next prime (2144771966021).

It is not an unprimeable number, because it can be changed into a prime (2144771966011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4885585125 + ... + 4885585563.

Almost surely, 2^{2144771966016} is an apocalyptic number.

2144771966016 is the 1464504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144771966016

2144771966016 is an abundant number, since it is smaller than the sum of its proper divisors (4061512404855).

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

2144771966016 is an frugal number, since it uses more digits than its factorization.

2144771966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2144771966016 in words is "two trillion, one hundred forty-four billion, seven hundred seventy-one million, nine hundred sixty-six thousand, sixteen".