34314300010481 has 2 divisors, whose sum is σ = 34314300010482. Its totient is φ = 34314300010480.

The previous prime is 34314300010381. The next prime is 34314300010511. The reversal of 34314300010481 is 18401000341343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22297435104256 + 12016864906225 = 4722016^2 + 3466535^2 .

It is a cyclic number.

It is not a de Polignac number, because 34314300010481 - 2³⁸ = 34039422103537 is a prime.

It is a super-2 number, since 2×34314300010481² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34314300010381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17157150005240 + 17157150005241.

It is an arithmetic number, because the mean of its divisors is an integer number (17157150005241).

Almost surely, 2^{34314300010481} is an apocalyptic number.

It is an amenable number.

34314300010481 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314300010481 is an equidigital number, since it uses as much as digits as its factorization.

34314300010481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 34314300010481 in words is "thirty-four trillion, three hundred fourteen billion, three hundred million, ten thousand, four hundred eighty-one".