56705420641 has 9 divisors (see below), whose sum is σ = 57808387609. Its totient is φ = 55623124336.

The previous prime is 56705420621. The next prime is 56705420647. The reversal of 56705420641 is 14602450765.

It is a happy number.

The square root of 56705420641 is 238129.

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 37760651041 + 18944769600 = 194321^2 + 137640^2 .

It is not a de Polignac number, because 56705420641 - 2¹⁵ = 56705387873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56705420594 and 56705420603.

It is not an unprimeable number, because it can be changed into a prime (56705420647) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 12618591 + ... + 12623083.

Almost surely, 2^56705420641 is an apocalyptic number.

56705420641 is the 238129-th square number.

56705420641 is the 119065-th centered octagonal number.

It is an amenable number.

56705420641 is a deficient number, since it is larger than the sum of its proper divisors (1102966968).

56705420641 is an frugal number, since it uses more digits than its factorization.

56705420641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 56705420641 in words is "fifty-six billion, seven hundred five million, four hundred twenty thousand, six hundred forty-one".