656847748656 has 240 divisors, whose sum is σ = 2050906590720. Its totient is φ = 194575680000.

The previous prime is 656847748649. The next prime is 656847748663.

656847748656 is a `hidden beast` number, since 6 + 5 + 68 + 477 + 48 + 6 + 56 = 666.

656847748656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (656847748649) and next prime (656847748663).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12612751 + ... + 12664721.

It is an arithmetic number, because the mean of its divisors is an integer number (8545444128).

Almost surely, 2^656847748656 is an apocalyptic number.

656847748656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656847748656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025453295360).

656847748656 is an abundant number, since it is smaller than the sum of its proper divisors (1394058842064).

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

656847748656 is a wasteful number, since it uses less digits than its factorization.

656847748656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52176 (or 52167 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 656847748656 in words is "six hundred fifty-six billion, eight hundred forty-seven million, seven hundred forty-eight thousand, six hundred fifty-six".