2985784466112 has 224 divisors, whose sum is σ = 10559583859200. Its totient is φ = 808182199296.

The previous prime is 2985784466089. The next prime is 2985784466113. The reversal of 2985784466112 is 2116644875892.

It is a happy number.

2985784466112 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 7 + 8 + 4 + 4 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2985784466112.

It is not an unprimeable number, because it can be changed into a prime (2985784466113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265983 + ... + 6725630.

Almost surely, 2^{2985784466112} is an apocalyptic number.

It is an amenable number.

2985784466112 is an abundant number, since it is smaller than the sum of its proper divisors (7573799393088).

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

2985784466112 is a wasteful number, since it uses less digits than its factorization.

2985784466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991660 (or 12991644 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 2985784466112 in words is "two trillion, nine hundred eighty-five billion, seven hundred eighty-four million, four hundred sixty-six thousand, one hundred twelve".