56783443759441 has 27 divisors (see below), whose sum is σ = 66237385460337. Its totient is φ = 48536924496480.

The previous prime is 56783443759429. The next prime is 56783443759463. The reversal of 56783443759441 is 14495734438765.

The square root of 56783443759441 is 7535479.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28516187403025 + 28267256356416 = 5340055^2 + 5316696^2 .

It is not a de Polignac number, because 56783443759441 - 2²¹ = 56783441662289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56783443759541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22207055335 + ... + 22207057891.

It is an arithmetic number, because the mean of its divisors is an integer number (2453236498531).

Almost surely, 2^{56783443759441} is an apocalyptic number.

56783443759441 is the 7535479-th square number.

56783443759441 is the 3767740-th centered octagonal number.

It is an amenable number.

56783443759441 is a deficient number, since it is larger than the sum of its proper divisors (9453941700896).

56783443759441 is an frugal number, since it uses more digits than its factorization.

56783443759441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 2985 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 70.

The spelling of 56783443759441 in words is "fifty-six trillion, seven hundred eighty-three billion, four hundred forty-three million, seven hundred fifty-nine thousand, four hundred forty-one".