456601811777113 has 2 divisors, whose sum is σ = 456601811777114. Its totient is φ = 456601811777112.

The previous prime is 456601811777029. The next prime is 456601811777119. The reversal of 456601811777113 is 311777118106654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412846603165129 + 43755208611984 = 20318627^2 + 6614772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456601811777113 is a prime.

It is a super-2 number, since 2×456601811777113² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456601811777119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228300905888556 + 228300905888557.

It is an arithmetic number, because the mean of its divisors is an integer number (228300905888557).

Almost surely, 2^{456601811777113} is an apocalyptic number.

It is an amenable number.

456601811777113 is a deficient number, since it is larger than the sum of its proper divisors (1).

456601811777113 is an equidigital number, since it uses as much as digits as its factorization.

456601811777113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5927040, while the sum is 58.

The spelling of 456601811777113 in words is "four hundred fifty-six trillion, six hundred one billion, eight hundred eleven million, seven hundred seventy-seven thousand, one hundred thirteen".