656306006144 has 128 divisors (see below), whose sum is σ = 1409933433600. Its totient is φ = 303371633664.

The previous prime is 656306006117. The next prime is 656306006149. The reversal of 656306006144 is 441600603656.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (656306006149) 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 15 ways as a sum of consecutive naturals, for example, 17416187 + ... + 17453829.

It is an arithmetic number, because the mean of its divisors is an integer number (11015104950).

Almost surely, 2^656306006144 is an apocalyptic number.

656306006144 is a gapful number since it is divisible by the number (64) 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 656306006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704966716800).

656306006144 is an abundant number, since it is smaller than the sum of its proper divisors (753627427456).

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

656306006144 is a wasteful number, since it uses less digits than its factorization.

656306006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37850 (or 37838 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 656306006144 in words is "six hundred fifty-six billion, three hundred six million, six thousand, one hundred forty-four".