10677346999633 has 2 divisors, whose sum is σ = 10677346999634. Its totient is φ = 10677346999632.

The previous prime is 10677346999531. The next prime is 10677346999661. The reversal of 10677346999633 is 33699964377601.

10677346999633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6960980426689 + 3716366572944 = 2638367^2 + 1927788^2 .

It is an emirp because it is prime and its reverse (33699964377601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10677346999633 - 2²¹ = 10677344902481 is a prime.

It is a super-2 number, since 2×10677346999633² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10677346999433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5338673499816 + 5338673499817.

It is an arithmetic number, because the mean of its divisors is an integer number (5338673499817).

Almost surely, 2^{10677346999633} is an apocalyptic number.

It is an amenable number.

10677346999633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10677346999633 is an equidigital number, since it uses as much as digits as its factorization.

10677346999633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 833299488, while the sum is 73.

The spelling of 10677346999633 in words is "ten trillion, six hundred seventy-seven billion, three hundred forty-six million, nine hundred ninety-nine thousand, six hundred thirty-three".