456511368485041 has 2 divisors, whose sum is σ = 456511368485042. Its totient is φ = 456511368485040.

The previous prime is 456511368485023. The next prime is 456511368485119. The reversal of 456511368485041 is 140584863115654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456511083854400 + 284630641 = 21366120^2 + 16871^2 .

It is a cyclic number.

It is not a de Polignac number, because 456511368485041 - 2³⁹ = 455961612671153 is a prime.

It is not a weakly prime, because it can be changed into another prime (456511368485741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228255684242520 + 228255684242521.

It is an arithmetic number, because the mean of its divisors is an integer number (228255684242521).

Almost surely, 2^{456511368485041} is an apocalyptic number.

It is an amenable number.

456511368485041 is a deficient number, since it is larger than the sum of its proper divisors (1).

456511368485041 is an equidigital number, since it uses as much as digits as its factorization.

456511368485041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296000, while the sum is 61.

The spelling of 456511368485041 in words is "four hundred fifty-six trillion, five hundred eleven billion, three hundred sixty-eight million, four hundred eighty-five thousand, forty-one".