657164463854713 has 32 divisors (see below), whose sum is σ = 691329239228160. Its totient is φ = 623857520563200.

The previous prime is 657164463854699. The next prime is 657164463854749. The reversal of 657164463854713 is 317458364461756.

It is a cyclic number.

It is not a de Polignac number, because 657164463854713 - 2⁵ = 657164463854681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657164463804713) 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 31 ways as a sum of consecutive naturals, for example, 2104568445 + ... + 2104880677.

It is an arithmetic number, because the mean of its divisors is an integer number (21604038725880).

Almost surely, 2^{657164463854713} is an apocalyptic number.

It is an amenable number.

657164463854713 is a deficient number, since it is larger than the sum of its proper divisors (34164775373447).

657164463854713 is a wasteful number, since it uses less digits than its factorization.

657164463854713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317457.

The product of its digits is 1219276800, while the sum is 70.

The spelling of 657164463854713 in words is "six hundred fifty-seven trillion, one hundred sixty-four billion, four hundred sixty-three million, eight hundred fifty-four thousand, seven hundred thirteen".