4656124216564 has 48 divisors (see below), whose sum is σ = 8297627643648. Its totient is φ = 2285613969408.

The previous prime is 4656124216553. The next prime is 4656124216573.

4656124216564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195156124 + ... + 195179980.

It is an arithmetic number, because the mean of its divisors is an integer number (172867242576).

Almost surely, 2^{4656124216564} is an apocalyptic number.

It is an amenable number.

4656124216564 is a deficient number, since it is larger than the sum of its proper divisors (3641503427084).

4656124216564 is a wasteful number, since it uses less digits than its factorization.

4656124216564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26344 (or 26342 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 4656124216564 in words is "four trillion, six hundred fifty-six billion, one hundred twenty-four million, two hundred sixteen thousand, five hundred sixty-four".