4433546831616 has 1152 divisors, whose sum is σ = 16589954304000. Its totient is φ = 1162702356480.

The previous prime is 4433546831611. The next prime is 4433546831647. The reversal of 4433546831616 is 6161386453344.

4433546831616 is a `hidden beast` number, since 4 + 4 + 3 + 3 + 546 + 8 + 31 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4433546831611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1652457411 + ... + 1652460093.

It is an arithmetic number, because the mean of its divisors is an integer number (14401002000).

Almost surely, 2^{4433546831616} 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 4433546831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294977152000).

4433546831616 is an abundant number, since it is smaller than the sum of its proper divisors (12156407472384).

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

4433546831616 is a wasteful number, since it uses less digits than its factorization.

4433546831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2753 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 4433546831616 in words is "four trillion, four hundred thirty-three billion, five hundred forty-six million, eight hundred thirty-one thousand, six hundred sixteen".