368008114321 has 2 divisors, whose sum is σ = 368008114322. Its totient is φ = 368008114320.

The previous prime is 368008114291. The next prime is 368008114351. The reversal of 368008114321 is 123411800863.

It is a balanced prime because it is at equal distance from previous prime (368008114291) and next prime (368008114351).

It can be written as a sum of positive squares in only one way, i.e., 204630474321 + 163377640000 = 452361^2 + 404200^2 .

It is a cyclic number.

It is not a de Polignac number, because 368008114321 - 2¹⁷ = 368007983249 is a prime.

It is not a weakly prime, because it can be changed into another prime (368008114351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184004057160 + 184004057161.

It is an arithmetic number, because the mean of its divisors is an integer number (184004057161).

Almost surely, 2^368008114321 is an apocalyptic number.

It is an amenable number.

368008114321 is a deficient number, since it is larger than the sum of its proper divisors (1).

368008114321 is an equidigital number, since it uses as much as digits as its factorization.

368008114321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 368008114321 in words is "three hundred sixty-eight billion, eight million, one hundred fourteen thousand, three hundred twenty-one".