4167656922256 has 45 divisors (see below), whose sum is σ = 8363354569401. Its totient is φ = 2011857984192.

The previous prime is 4167656922203. The next prime is 4167656922259. The reversal of 4167656922256 is 6522296567614.

The square root of 4167656922256 is 2041484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2185418195856 + 1982238726400 = 1478316^2 + 1407920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4167656922194 and 4167656922203.

It is not an unprimeable number, because it can be changed into a prime (4167656922259) 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 8 ways as a sum of consecutive naturals, for example, 236803345 + ... + 236820943.

Almost surely, 2^{4167656922256} is an apocalyptic number.

4167656922256 is the 2041484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167656922256

4167656922256 is an abundant number, since it is smaller than the sum of its proper divisors (4195697647145).

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

4167656922256 is an frugal number, since it uses more digits than its factorization.

4167656922256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35264 (or 17630 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 4167656922256 in words is "four trillion, one hundred sixty-seven billion, six hundred fifty-six million, nine hundred twenty-two thousand, two hundred fifty-six".