4461006705 has 32 divisors (see below), whose sum is σ = 7199877888. Its totient is φ = 2358528000.

The previous prime is 4461006701. The next prime is 4461006709. The reversal of 4461006705 is 5076001644.

It is an interprime number because it is at equal distance from previous prime (4461006701) and next prime (4461006709).

It is not a de Polignac number, because 4461006705 - 2² = 4461006701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4461006701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002285 + ... + 1006725.

It is an arithmetic number, because the mean of its divisors is an integer number (224996184).

Almost surely, 2^4461006705 is an apocalyptic number.

It is an amenable number.

4461006705 is a deficient number, since it is larger than the sum of its proper divisors (2738871183).

4461006705 is a wasteful number, since it uses less digits than its factorization.

4461006705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4461006705 is about 66790.7681120677. The cubic root of 4461006705 is about 1646.1811535883.

The spelling of 4461006705 in words is "four billion, four hundred sixty-one million, six thousand, seven hundred five".