2183672566656 has 640 divisors, whose sum is σ = 7554014899200. Its totient is φ = 613310164992.

The previous prime is 2183672566631. The next prime is 2183672566741. The reversal of 2183672566656 is 6566652763812.

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

It is a junction number, because it is equal to n+sod(n) for n = 2183672566593 and 2183672566602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1379451241 + ... + 1379452823.

It is an arithmetic number, because the mean of its divisors is an integer number (11803148280).

Almost surely, 2^{2183672566656} 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 2183672566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777007449600).

2183672566656 is an abundant number, since it is smaller than the sum of its proper divisors (5370342332544).

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

2183672566656 is a wasteful number, since it uses less digits than its factorization.

2183672566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1907 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 2183672566656 in words is "two trillion, one hundred eighty-three billion, six hundred seventy-two million, five hundred sixty-six thousand, six hundred fifty-six".