656481282184656 has 30 divisors (see below), whose sum is σ = 1837235810558850. Its totient is φ = 218827094061504.

The previous prime is 656481282184531. The next prime is 656481282184669.

656481282184656 is a `hidden beast` number, since 6 + 5 + 6 + 4 + 81 + 2 + 82 + 1 + 8 + 465 + 6 = 666.

656481282184656 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 419783549504400 + 236697732680256 = 20488620^2 + 15384984^2 .

It is a super-3 number, since 3×656481282184656³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2279448896331 + ... + 2279448896618.

It is an arithmetic number, because the mean of its divisors is an integer number (61241193685295).

Almost surely, 2^{656481282184656} is an apocalyptic number.

It is an amenable number.

656481282184656 is an abundant number, since it is smaller than the sum of its proper divisors (1180754528374194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

656481282184656 is a wasteful number, since it uses less digits than its factorization.

656481282184656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558897792963 (or 4558897792954 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 656481282184656 in words is "six hundred fifty-six trillion, four hundred eighty-one billion, two hundred eighty-two million, one hundred eighty-four thousand, six hundred fifty-six".