21734935664129 has 2 divisors, whose sum is σ = 21734935664130. Its totient is φ = 21734935664128.

The previous prime is 21734935664107. The next prime is 21734935664209. The reversal of 21734935664129 is 92146653943712.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21212426433025 + 522509231104 = 4605695^2 + 722848^2 .

It is a cyclic number.

It is not a de Polignac number, because 21734935664129 - 2⁸ = 21734935663873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21734935264129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10867467832064 + 10867467832065.

It is an arithmetic number, because the mean of its divisors is an integer number (10867467832065).

Almost surely, 2^{21734935664129} is an apocalyptic number.

It is an amenable number.

21734935664129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21734935664129 is an equidigital number, since it uses as much as digits as its factorization.

21734935664129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58786560, while the sum is 62.

The spelling of 21734935664129 in words is "twenty-one trillion, seven hundred thirty-four billion, nine hundred thirty-five million, six hundred sixty-four thousand, one hundred twenty-nine".