656827141728656 has 10 divisors (see below), whose sum is σ = 1272602587099302. Its totient is φ = 328413570864320.

The previous prime is 656827141728631. The next prime is 656827141728661.

It is a happy number.

656827141728656 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 648028300960000 + 8798840768656 = 25456400^2 + 2966284^2 .

It is a super-3 number, since 3×656827141728656³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 20525848179005 + ... + 20525848179036.

Almost surely, 2^{656827141728656} is an apocalyptic number.

It is an amenable number.

656827141728656 is a deficient number, since it is larger than the sum of its proper divisors (615775445370646).

656827141728656 is a wasteful number, since it uses less digits than its factorization.

656827141728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051696358049 (or 41051696358043 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 74.

The spelling of 656827141728656 in words is "six hundred fifty-six trillion, eight hundred twenty-seven billion, one hundred forty-one million, seven hundred twenty-eight thousand, six hundred fifty-six".