4634937686016 has 288 divisors, whose sum is σ = 14943154786560. Its totient is φ = 1371860582400.

The previous prime is 4634937685991. The next prime is 4634937686047. The reversal of 4634937686016 is 6106867394364.

4634937686016 is a `hidden beast` number, since 4 + 6 + 3 + 493 + 76 + 8 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8452521 + ... + 8984151.

It is an arithmetic number, because the mean of its divisors is an integer number (51885954120).

Almost surely, 2^{4634937686016} 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 4634937686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471577393280).

4634937686016 is an abundant number, since it is smaller than the sum of its proper divisors (10308217100544).

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

4634937686016 is a wasteful number, since it uses less digits than its factorization.

4634937686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531713 (or 531690 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 4634937686016 in words is "four trillion, six hundred thirty-four billion, nine hundred thirty-seven million, six hundred eighty-six thousand, sixteen".