656414403459441 has 64 divisors (see below), whose sum is σ = 989166688100352. Its totient is φ = 383594541120000.

The previous prime is 656414403459403. The next prime is 656414403459443. The reversal of 656414403459441 is 144954304414656.

It is a happy number.

656414403459441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 656414403459441 - 2¹⁸ = 656414403197297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (656414403459443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4122427270 + ... + 4122586496.

It is an arithmetic number, because the mean of its divisors is an integer number (15455729501568).

Almost surely, 2^{656414403459441} is an apocalyptic number.

It is an amenable number.

656414403459441 is a deficient number, since it is larger than the sum of its proper divisors (332752284640911).

656414403459441 is a wasteful number, since it uses less digits than its factorization.

656414403459441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173894.

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 656414403459441 in words is "six hundred fifty-six trillion, four hundred fourteen billion, four hundred three million, four hundred fifty-nine thousand, four hundred forty-one".