112527216377 has 2 divisors, whose sum is σ = 112527216378. Its totient is φ = 112527216376.

The previous prime is 112527216367. The next prime is 112527216379. The reversal of 112527216377 is 773612725211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99243270841 + 13283945536 = 315029^2 + 115256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112527216377 is a prime.

It is a super-2 number, since 2×112527216377² (a number of 23 digits) contains 22 as substring.

Together with 112527216379, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112527216379) 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, 56263608188 + 56263608189.

It is an arithmetic number, because the mean of its divisors is an integer number (56263608189).

Almost surely, 2^112527216377 is an apocalyptic number.

It is an amenable number.

112527216377 is a deficient number, since it is larger than the sum of its proper divisors (1).

112527216377 is an equidigital number, since it uses as much as digits as its factorization.

112527216377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 246960, while the sum is 44.

The spelling of 112527216377 in words is "one hundred twelve billion, five hundred twenty-seven million, two hundred sixteen thousand, three hundred seventy-seven".