656853358656 has 224 divisors, whose sum is σ = 1915891845120. Its totient is φ = 196958361600.

The previous prime is 656853358639. The next prime is 656853358717.

656853358656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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, 101535390 + ... + 101541858.

Almost surely, 2^656853358656 is an apocalyptic number.

656853358656 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 656853358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957945922560).

656853358656 is an abundant number, since it is smaller than the sum of its proper divisors (1259038486464).

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

656853358656 is a wasteful number, since it uses less digits than its factorization.

656853358656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6983 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 656853358656 in words is "six hundred fifty-six billion, eight hundred fifty-three million, three hundred fifty-eight thousand, six hundred fifty-six".