114334751610529 has 2 divisors, whose sum is σ = 114334751610530. Its totient is φ = 114334751610528.

The previous prime is 114334751610473. The next prime is 114334751610577. The reversal of 114334751610529 is 925016157433411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97983727160929 + 16351024449600 = 9898673^2 + 4043640^2 .

It is an emirp because it is prime and its reverse (925016157433411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114334751610529 - 2⁹ = 114334751610017 is a prime.

It is not a weakly prime, because it can be changed into another prime (114334751610229) 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 as a sum of consecutive naturals, namely, 57167375805264 + 57167375805265.

It is an arithmetic number, because the mean of its divisors is an integer number (57167375805265).

Almost surely, 2^{114334751610529} is an apocalyptic number.

It is an amenable number.

114334751610529 is a deficient number, since it is larger than the sum of its proper divisors (1).

114334751610529 is an equidigital number, since it uses as much as digits as its factorization.

114334751610529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 114334751610529 in words is "one hundred fourteen trillion, three hundred thirty-four billion, seven hundred fifty-one million, six hundred ten thousand, five hundred twenty-nine".