56456023000441 has 2 divisors, whose sum is σ = 56456023000442. Its totient is φ = 56456023000440.

The previous prime is 56456023000337. The next prime is 56456023000493. The reversal of 56456023000441 is 14400032065465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52496241394041 + 3959781606400 = 7245429^2 + 1989920^2 .

It is a cyclic number.

It is not a de Polignac number, because 56456023000441 - 2⁷ = 56456023000313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56456023000394 and 56456023000403.

It is not a weakly prime, because it can be changed into another prime (56456023000841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28228011500220 + 28228011500221.

It is an arithmetic number, because the mean of its divisors is an integer number (28228011500221).

Almost surely, 2^{56456023000441} is an apocalyptic number.

It is an amenable number.

56456023000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

56456023000441 is an equidigital number, since it uses as much as digits as its factorization.

56456023000441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 56456023000441 in words is "fifty-six trillion, four hundred fifty-six billion, twenty-three million, four hundred forty-one", and thus it is an aban number.