83118367506649 has 2 divisors, whose sum is σ = 83118367506650. Its totient is φ = 83118367506648.

The previous prime is 83118367506617. The next prime is 83118367506677. The reversal of 83118367506649 is 94660576381138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80135493096649 + 2982874410000 = 8951843^2 + 1727100^2 .

It is a cyclic number.

It is not a de Polignac number, because 83118367506649 - 2⁵ = 83118367506617 is a prime.

It is not a weakly prime, because it can be changed into another prime (83118367504649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41559183753324 + 41559183753325.

It is an arithmetic number, because the mean of its divisors is an integer number (41559183753325).

Almost surely, 2^{83118367506649} is an apocalyptic number.

It is an amenable number.

83118367506649 is a deficient number, since it is larger than the sum of its proper divisors (1).

83118367506649 is an equidigital number, since it uses as much as digits as its factorization.

83118367506649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 83118367506649 in words is "eighty-three trillion, one hundred eighteen billion, three hundred sixty-seven million, five hundred six thousand, six hundred forty-nine".