656244442656 has 768 divisors, whose sum is σ = 2293459660800. Its totient is φ = 180469555200.

The previous prime is 656244442613. The next prime is 656244442657.

656244442656 is a `hidden beast` number, since 6 + 5 + 624 + 4 + 4 + 4 + 2 + 6 + 5 + 6 = 666.

656244442656 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×656244442656³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (656244442657) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 331603075 + ... + 331605053.

It is an arithmetic number, because the mean of its divisors is an integer number (2986275600).

Almost surely, 2^656244442656 is an apocalyptic number.

656244442656 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 656244442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146729830400).

656244442656 is an abundant number, since it is smaller than the sum of its proper divisors (1637215218144).

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

656244442656 is a wasteful number, since it uses less digits than its factorization.

656244442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2096 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 656244442656 in words is "six hundred fifty-six billion, two hundred forty-four million, four hundred forty-two thousand, six hundred fifty-six".