4606677998688 has 192 divisors, whose sum is σ = 13087290424320. Its totient is φ = 1415670681600.

The previous prime is 4606677998653. The next prime is 4606677998711. The reversal of 4606677998688 is 8868997766064.

It is a self number, because there is not a number n which added to its sum of digits gives 4606677998688.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4935423 + ... + 5794113.

It is an arithmetic number, because the mean of its divisors is an integer number (68162970960).

Almost surely, 2^{4606677998688} is an apocalyptic number.

4606677998688 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 4606677998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543645212160).

4606677998688 is an abundant number, since it is smaller than the sum of its proper divisors (8480612425632).

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

4606677998688 is a wasteful number, since it uses less digits than its factorization.

4606677998688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858821 (or 858813 counting only the distinct ones).

The product of its (nonzero) digits is 10534551552, while the sum is 84.

The spelling of 4606677998688 in words is "four trillion, six hundred six billion, six hundred seventy-seven million, nine hundred ninety-eight thousand, six hundred eighty-eight".