705747861838601 has 12 divisors (see below), whose sum is σ = 749990951645628. Its totient is φ = 663979466237952.

The previous prime is 705747861838573. The next prime is 705747861838631. The reversal of 705747861838601 is 106838168747507.

It can be written as a sum of positive squares in 6 ways, for example, as 185364167752201 + 520383694086400 = 13614851^2 + 22811920^2 .

It is a de Polignac number, because none of the positive numbers 2^k-705747861838601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (705747861838631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465814976 + ... + 467327601.

It is an arithmetic number, because the mean of its divisors is an integer number (62499245970469).

Almost surely, 2^{705747861838601} is an apocalyptic number.

It is an amenable number.

705747861838601 is a deficient number, since it is larger than the sum of its proper divisors (44243089807027).

705747861838601 is a wasteful number, since it uses less digits than its factorization.

705747861838601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933145228 (or 933145211 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 71.

The spelling of 705747861838601 in words is "seven hundred five trillion, seven hundred forty-seven billion, eight hundred sixty-one million, eight hundred thirty-eight thousand, six hundred one".