2117676146688 has 168 divisors, whose sum is σ = 6161397278400. Its totient is φ = 700810297344.

The previous prime is 2117676146657. The next prime is 2117676146693. The reversal of 2117676146688 is 8866416767112.

2117676146688 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 6 + 7 + 614 + 6 + 6 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10144873 + ... + 10351511.

It is an arithmetic number, because the mean of its divisors is an integer number (36674983800).

Almost surely, 2^{2117676146688} 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 2117676146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080698639200).

2117676146688 is an abundant number, since it is smaller than the sum of its proper divisors (4043721131712).

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

2117676146688 is a wasteful number, since it uses less digits than its factorization.

2117676146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206810 (or 206783 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 2117676146688 in words is "two trillion, one hundred seventeen billion, six hundred seventy-six million, one hundred forty-six thousand, six hundred eighty-eight".