456601811776909 has 2 divisors, whose sum is σ = 456601811776910. Its totient is φ = 456601811776908.

The previous prime is 456601811776861. The next prime is 456601811777029. The reversal of 456601811776909 is 909677118106654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 422786714521284 + 33815097255625 = 20561778^2 + 5815075^2 .

It is a cyclic number.

It is not a de Polignac number, because 456601811776909 - 2³¹ = 456599664293261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456601811776309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228300905888454 + 228300905888455.

It is an arithmetic number, because the mean of its divisors is an integer number (228300905888455).

Almost surely, 2^{456601811776909} is an apocalyptic number.

It is an amenable number.

456601811776909 is a deficient number, since it is larger than the sum of its proper divisors (1).

456601811776909 is an equidigital number, since it uses as much as digits as its factorization.

456601811776909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 70.

The spelling of 456601811776909 in words is "four hundred fifty-six trillion, six hundred one billion, eight hundred eleven million, seven hundred seventy-six thousand, nine hundred nine".