56383414014321 has 63 divisors (see below), whose sum is σ = 85765769040763. Its totient is φ = 37050059748240.

The previous prime is 56383414014311. The next prime is 56383414014457. The reversal of 56383414014321 is 12341041438365.

The square root of 56383414014321 is 7508889.

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

56383414014321 is a `hidden beast` number, since 5 + 63 + 83 + 41 + 40 + 1 + 432 + 1 = 666.

56383414014321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45662792630625 + 10720621383696 = 6757425^2 + 3274236^2 .

It is not a de Polignac number, because 56383414014321 - 2⁴⁵ = 21199041925489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56383414014311) 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 62 ways as a sum of consecutive naturals, for example, 14394538255 + ... + 14394542171.

Almost surely, 2^{56383414014321} is an apocalyptic number.

56383414014321 is the 7508889-th square number.

56383414014321 is the 3754445-th centered octagonal number.

It is an amenable number.

56383414014321 is a deficient number, since it is larger than the sum of its proper divisors (29382355026442).

56383414014321 is an frugal number, since it uses more digits than its factorization.

56383414014321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56383414014321 in words is "fifty-six trillion, three hundred eighty-three billion, four hundred fourteen million, fourteen thousand, three hundred twenty-one".