2066128616448 has 1584 divisors, whose sum is σ = 7412835096576. Its totient is φ = 549182177280.

The previous prime is 2066128616441. The next prime is 2066128616459. The reversal of 2066128616448 is 8446168216602.

2066128616448 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 12 + 8 + 616 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×2066128616448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2066128616394 and 2066128616403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066128616441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30837740511 + ... + 30837740577.

Almost surely, 2^{2066128616448} 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 2066128616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706417548288).

2066128616448 is an abundant number, since it is smaller than the sum of its proper divisors (5346706480128).

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

2066128616448 is a wasteful number, since it uses less digits than its factorization.

2066128616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2066128616448 in words is "two trillion, sixty-six billion, one hundred twenty-eight million, six hundred sixteen thousand, four hundred forty-eight".