23116216461777 has 20 divisors (see below), whose sum is σ = 34710552394980. Its totient is φ = 15330962202624.

The previous prime is 23116216461769. The next prime is 23116216461797. The reversal of 23116216461777 is 77716461261132.

23116216461777 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 6 + 2 + 16 + 4 + 617 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10085553202176 + 13030663259601 = 3175776^2 + 3609801^2 .

It is not a de Polignac number, because 23116216461777 - 2³ = 23116216461769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23116216461797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 739324752 + ... + 739356017.

It is an arithmetic number, because the mean of its divisors is an integer number (1735527619749).

Almost surely, 2^{23116216461777} is an apocalyptic number.

23116216461777 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23116216461777 is a deficient number, since it is larger than the sum of its proper divisors (11594335933203).

23116216461777 is a wasteful number, since it uses less digits than its factorization.

23116216461777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478680974 (or 1478680965 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 23116216461777 in words is "twenty-three trillion, one hundred sixteen billion, two hundred sixteen million, four hundred sixty-one thousand, seven hundred seventy-seven".