114220865819657 has 2 divisors, whose sum is σ = 114220865819658. Its totient is φ = 114220865819656.

The previous prime is 114220865819651. The next prime is 114220865819663. The reversal of 114220865819657 is 756918568022411.

It is a balanced prime because it is at equal distance from previous prime (114220865819651) and next prime (114220865819663).

It can be written as a sum of positive squares in only one way, i.e., 63828131541001 + 50392734278656 = 7989251^2 + 7098784^2 .

It is a cyclic number.

It is not a de Polignac number, because 114220865819657 - 2¹⁴ = 114220865803273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114220865819593 and 114220865819602.

It is not a weakly prime, because it can be changed into another prime (114220865819651) 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, 57110432909828 + 57110432909829.

It is an arithmetic number, because the mean of its divisors is an integer number (57110432909829).

Almost surely, 2^{114220865819657} is an apocalyptic number.

It is an amenable number.

114220865819657 is a deficient number, since it is larger than the sum of its proper divisors (1).

114220865819657 is an equidigital number, since it uses as much as digits as its factorization.

114220865819657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 65.

The spelling of 114220865819657 in words is "one hundred fourteen trillion, two hundred twenty billion, eight hundred sixty-five million, eight hundred nineteen thousand, six hundred fifty-seven".