2066134500144 has 480 divisors, whose sum is σ = 6923194387200. Its totient is φ = 566923069440.

The previous prime is 2066134500109. The next prime is 2066134500169. The reversal of 2066134500144 is 4410054316602.

2066134500144 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 1 + 3 + 4 + 500 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2066134500099 and 2066134500108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664564062 + ... + 664567170.

It is an arithmetic number, because the mean of its divisors is an integer number (14423321640).

Almost surely, 2^{2066134500144} is an apocalyptic number.

2066134500144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066134500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461597193600).

2066134500144 is an abundant number, since it is smaller than the sum of its proper divisors (4857059887056).

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

2066134500144 is a wasteful number, since it uses less digits than its factorization.

2066134500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2066134500144 its reverse (4410054316602), we get a palindrome (6476188816746).

The spelling of 2066134500144 in words is "two trillion, sixty-six billion, one hundred thirty-four million, five hundred thousand, one hundred forty-four".