657229742961 has 32 divisors (see below), whose sum is σ = 979599329280. Its totient is φ = 388502184000.

The previous prime is 657229742951. The next prime is 657229742969. The reversal of 657229742961 is 169247922756.

It is a happy number.

It is not a de Polignac number, because 657229742961 - 2¹³ = 657229734769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 657229742895 and 657229742904.

It is not an unprimeable number, because it can be changed into a prime (657229742969) 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, 664360 + ... + 1325078.

It is an arithmetic number, because the mean of its divisors is an integer number (30612479040).

Almost surely, 2^657229742961 is an apocalyptic number.

It is an amenable number.

657229742961 is a deficient number, since it is larger than the sum of its proper divisors (322369586319).

657229742961 is a wasteful number, since it uses less digits than its factorization.

657229742961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661477.

The product of its digits is 22861440, while the sum is 60.

The spelling of 657229742961 in words is "six hundred fifty-seven billion, two hundred twenty-nine million, seven hundred forty-two thousand, nine hundred sixty-one".