2173656563712 has 272 divisors, whose sum is σ = 6457564085280. Its totient is φ = 722624053248.

The previous prime is 2173656563669. The next prime is 2173656563717.

2173656563712 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 6 + 5 + 6 + 563 + 71 + 2 = 666.

2173656563712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173656563717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766179958 + ... + 766182794.

Almost surely, 2^{2173656563712} 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 2173656563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228782042640).

2173656563712 is an abundant number, since it is smaller than the sum of its proper divisors (4283907521568).

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

2173656563712 is an frugal number, since it uses more digits than its factorization.

2173656563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3275 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 2173656563712 in words is "two trillion, one hundred seventy-three billion, six hundred fifty-six million, five hundred sixty-three thousand, seven hundred twelve".