6634553041116 has 2688 divisors, whose sum is σ = 27008769392640. Its totient is φ = 1366535577600.

The previous prime is 6634553041057. The next prime is 6634553041121. The reversal of 6634553041116 is 6111403554366.

6634553041116 is a `hidden beast` number, since 6 + 63 + 4 + 5 + 530 + 41 + 1 + 16 = 666.

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 895 ways as a sum of consecutive naturals, for example, 29227105795 + ... + 29227106021.

It is an arithmetic number, because the mean of its divisors is an integer number (10047905280).

Almost surely, 2^{6634553041116} is an apocalyptic number.

6634553041116 is a gapful number since it is divisible by the number (66) 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 6634553041116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504384696320).

6634553041116 is an abundant number, since it is smaller than the sum of its proper divisors (20374216351524).

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

6634553041116 is a wasteful number, since it uses less digits than its factorization.

6634553041116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6634553041116 in words is "six trillion, six hundred thirty-four billion, five hundred fifty-three million, forty-one thousand, one hundred sixteen".