705742133078641 has 8 divisors (see below), whose sum is σ = 763155448035840. Its totient is φ = 650095381658688.

The previous prime is 705742133078639. The next prime is 705742133078657. The reversal of 705742133078641 is 146870331247507.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 705742133078641 - 2¹ = 705742133078639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705742133078621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441640883481 + ... + 441640885078.

It is an arithmetic number, because the mean of its divisors is an integer number (95394431004480).

Almost surely, 2^{705742133078641} is an apocalyptic number.

It is an amenable number.

705742133078641 is a deficient number, since it is larger than the sum of its proper divisors (57413314957199).

705742133078641 is a wasteful number, since it uses less digits than its factorization.

705742133078641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883281768623.

The product of its (nonzero) digits is 23708160, while the sum is 58.

The spelling of 705742133078641 in words is "seven hundred five trillion, seven hundred forty-two billion, one hundred thirty-three million, seventy-eight thousand, six hundred forty-one".