4660988116608 has 384 divisors, whose sum is σ = 14672035123200. Its totient is φ = 1468801797120.

The previous prime is 4660988116579. The next prime is 4660988116649. The reversal of 4660988116608 is 8066118890664.

4660988116608 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 9 + 8 + 8 + 1 + 16 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290161185 + ... + 290177247.

It is an arithmetic number, because the mean of its divisors is an integer number (38208424800).

Almost surely, 2^{4660988116608} is an apocalyptic number.

4660988116608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660988116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336017561600).

4660988116608 is an abundant number, since it is smaller than the sum of its proper divisors (10011047006592).

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

4660988116608 is a wasteful number, since it uses less digits than its factorization.

4660988116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 4660988116608 in words is "four trillion, six hundred sixty billion, nine hundred eighty-eight million, one hundred sixteen thousand, six hundred eight".