10746541665 has 12 divisors (see below), whose sum is σ = 18627338964. Its totient is φ = 5731488864.

The previous prime is 10746541649. The next prime is 10746541679. The reversal of 10746541665 is 56614564701.

10746541665 is a `hidden beast` number, since 1 + 0 + 7 + 46 + 541 + 6 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7051968576 + 3694573089 = 83976^2 + 60783^2 .

It is not a de Polignac number, because 10746541665 - 2⁴ = 10746541649 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 238812037 = 10746541665 / (1 + 0 + 7 + 4 + 6 + 5 + 4 + 1 + 6 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10746541665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119405974 + ... + 119406063.

It is an arithmetic number, because the mean of its divisors is an integer number (1552278247).

Almost surely, 2^10746541665 is an apocalyptic number.

10746541665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10746541665 is a deficient number, since it is larger than the sum of its proper divisors (7880797299).

10746541665 is a wasteful number, since it uses less digits than its factorization.

10746541665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238812048 (or 238812045 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10746541665 in words is "ten billion, seven hundred forty-six million, five hundred forty-one thousand, six hundred sixty-five".