112814009977 has 2 divisors, whose sum is σ = 112814009978. Its totient is φ = 112814009976.

The previous prime is 112814009921. The next prime is 112814009983. The reversal of 112814009977 is 779900418211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97291591056 + 15522418921 = 311916^2 + 124589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112814009977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112814009977.

It is not a weakly prime, because it can be changed into another prime (112814009677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56407004988 + 56407004989.

It is an arithmetic number, because the mean of its divisors is an integer number (56407004989).

Almost surely, 2^112814009977 is an apocalyptic number.

It is an amenable number.

112814009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

112814009977 is an equidigital number, since it uses as much as digits as its factorization.

112814009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 49.

The spelling of 112814009977 in words is "one hundred twelve billion, eight hundred fourteen million, nine thousand, nine hundred seventy-seven".