456601811777119 has 2 divisors, whose sum is σ = 456601811777120. Its totient is φ = 456601811777118.

The previous prime is 456601811777113. The next prime is 456601811777201. The reversal of 456601811777119 is 911777118106654.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 456601811777119 - 2²⁵ = 456601778222687 is a prime.

It is a super-2 number, since 2×456601811777119² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456601811777113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228300905888559 + 228300905888560.

It is an arithmetic number, because the mean of its divisors is an integer number (228300905888560).

Almost surely, 2^{456601811777119} is an apocalyptic number.

456601811777119 is a deficient number, since it is larger than the sum of its proper divisors (1).

456601811777119 is an equidigital number, since it uses as much as digits as its factorization.

456601811777119 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17781120, while the sum is 64.

The spelling of 456601811777119 in words is "four hundred fifty-six trillion, six hundred one billion, eight hundred eleven million, seven hundred seventy-seven thousand, one hundred nineteen".