4656342436564 has 96 divisors (see below), whose sum is σ = 10563809177600. Its totient is φ = 1743974686080.

The previous prime is 4656342436553. The next prime is 4656342436591.

It is a happy number.

4656342436564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4656342436499 and 4656342436508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10368517 + ... + 10808275.

Almost surely, 2^{4656342436564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656342436564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281904588800).

4656342436564 is an abundant number, since it is smaller than the sum of its proper divisors (5907466741036).

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

4656342436564 is a wasteful number, since it uses less digits than its factorization.

4656342436564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441333 (or 441331 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 58.

The spelling of 4656342436564 in words is "four trillion, six hundred fifty-six billion, three hundred forty-two million, four hundred thirty-six thousand, five hundred sixty-four".