33646103664113 has 2 divisors, whose sum is σ = 33646103664114. Its totient is φ = 33646103664112.

The previous prime is 33646103664067. The next prime is 33646103664157. The reversal of 33646103664113 is 31146630164633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33504104322529 + 141999341584 = 5788273^2 + 376828^2 .

It is a cyclic number.

It is not a de Polignac number, because 33646103664113 - 2¹⁴ = 33646103647729 is a prime.

It is a super-2 number, since 2×33646103664113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33646103634113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16823051832056 + 16823051832057.

It is an arithmetic number, because the mean of its divisors is an integer number (16823051832057).

Almost surely, 2^{33646103664113} is an apocalyptic number.

It is an amenable number.

33646103664113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33646103664113 is an equidigital number, since it uses as much as digits as its factorization.

33646103664113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1679616, while the sum is 47.

The spelling of 33646103664113 in words is "thirty-three trillion, six hundred forty-six billion, one hundred three million, six hundred sixty-four thousand, one hundred thirteen".