2808646106112 has 2112 divisors, whose sum is σ = 11196703526400. Its totient is φ = 686696693760.

The previous prime is 2808646106087. The next prime is 2808646106153. The reversal of 2808646106112 is 2116016468082.

It is a happy number.

2808646106112 is a `hidden beast` number, since 28 + 0 + 8 + 6 + 4 + 6 + 1 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28955114448 + ... + 28955114544.

Almost surely, 2^{2808646106112} is an apocalyptic number.

2808646106112 is a gapful number since it is divisible by the number (22) 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 2808646106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598351763200).

2808646106112 is an abundant number, since it is smaller than the sum of its proper divisors (8388057420288).

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

2808646106112 is a wasteful number, since it uses less digits than its factorization.

2808646106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2808646106112 in words is "two trillion, eight hundred eight billion, six hundred forty-six million, one hundred six thousand, one hundred twelve".