4688608132656 has 240 divisors, whose sum is σ = 15116420487168. Its totient is φ = 1328862412800.

The previous prime is 4688608132643. The next prime is 4688608132657. The reversal of 4688608132656 is 6562318068864.

It is a happy number.

4688608132656 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 608 + 13 + 2 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×4688608132656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4688608132593 and 4688608132602.

It is not an unprimeable number, because it can be changed into a prime (4688608132657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456484801 + ... + 456495071.

Almost surely, 2^{4688608132656} 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 4688608132656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558210243584).

4688608132656 is an abundant number, since it is smaller than the sum of its proper divisors (10427812354512).

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

4688608132656 is a wasteful number, since it uses less digits than its factorization.

4688608132656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4688608132656 in words is "four trillion, six hundred eighty-eight billion, six hundred eight million, one hundred thirty-two thousand, six hundred fifty-six".