4686492616704 has 216 divisors, whose sum is σ = 13986216161190. Its totient is φ = 1511766097920.

The previous prime is 4686492616703. The next prime is 4686492616723. The reversal of 4686492616704 is 4076162946864.

It is a happy number.

4686492616704 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 4 + 9 + 2 + 616 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4680957256704 + 5535360000 = 2163552^2 + 74400^2 .

It is a super-2 number, since 2×4686492616704² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686492616703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17580864 + ... + 17845440.

Almost surely, 2^{4686492616704} 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 4686492616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993108080595).

4686492616704 is an abundant number, since it is smaller than the sum of its proper divisors (9299723544486).

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

4686492616704 is a wasteful number, since it uses less digits than its factorization.

4686492616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264667 (or 264613 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4686492616704 in words is "four trillion, six hundred eighty-six billion, four hundred ninety-two million, six hundred sixteen thousand, seven hundred four".