456288401673827 has 2 divisors, whose sum is σ = 456288401673828. Its totient is φ = 456288401673826.

The previous prime is 456288401673803. The next prime is 456288401673851. The reversal of 456288401673827 is 728376104882654.

It is a balanced prime because it is at equal distance from previous prime (456288401673803) and next prime (456288401673851).

It is a cyclic number.

It is not a de Polignac number, because 456288401673827 - 2¹⁴ = 456288401657443 is a prime.

It is not a weakly prime, because it can be changed into another prime (456288401673857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228144200836913 + 228144200836914.

It is an arithmetic number, because the mean of its divisors is an integer number (228144200836914).

Almost surely, 2^{456288401673827} is an apocalyptic number.

456288401673827 is a deficient number, since it is larger than the sum of its proper divisors (1).

456288401673827 is an equidigital number, since it uses as much as digits as its factorization.

456288401673827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 867041280, while the sum is 71.

The spelling of 456288401673827 in words is "four hundred fifty-six trillion, two hundred eighty-eight billion, four hundred one million, six hundred seventy-three thousand, eight hundred twenty-seven".