6656456961 has 72 divisors (see below), whose sum is σ = 12525927232. Its totient is φ = 3457792800.

The previous prime is 6656456951. The next prime is 6656457007. The reversal of 6656456961 is 1696546566.

It is not a de Polignac number, because 6656456961 - 2⁵ = 6656456929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6656456898 and 6656456907.

It is not an unprimeable number, because it can be changed into a prime (6656456951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189651 + ... + 221991.

Almost surely, 2^6656456961 is an apocalyptic number.

It is an amenable number.

6656456961 is a deficient number, since it is larger than the sum of its proper divisors (5869470271).

6656456961 is a wasteful number, since it uses less digits than its factorization.

6656456961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32385 (or 32362 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 6656456961 is about 81587.1127139575. The cubic root of 6656456961 is about 1881.1107967977.

The spelling of 6656456961 in words is "six billion, six hundred fifty-six million, four hundred fifty-six thousand, nine hundred sixty-one".