4656444446564 has 48 divisors (see below), whose sum is σ = 8315308698480. Its totient is φ = 2280780103680.

The previous prime is 4656444446561. The next prime is 4656444446581.

4656444446564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 112546830400 + 4543897616164 = 335480^2 + 2131642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4656444446497 and 4656444446506.

It is not an unprimeable number, because it can be changed into a prime (4656444446561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420668822 + ... + 420679890.

It is an arithmetic number, because the mean of its divisors is an integer number (173235597885).

Almost surely, 2^{4656444446564} is an apocalyptic number.

It is an amenable number.

4656444446564 is a deficient number, since it is larger than the sum of its proper divisors (3658864251916).

4656444446564 is a wasteful number, since it uses less digits than its factorization.

4656444446564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14000 (or 13998 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 62.

The spelling of 4656444446564 in words is "four trillion, six hundred fifty-six billion, four hundred forty-four million, four hundred forty-six thousand, five hundred sixty-four".