4161083861664 has 288 divisors, whose sum is σ = 12097025740800. Its totient is φ = 1356465277440.

The previous prime is 4161083861653. The next prime is 4161083861681. The reversal of 4161083861664 is 4661683801614.

4161083861664 is a `hidden beast` number, since 4 + 1 + 6 + 10 + 8 + 3 + 8 + 616 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4161083861664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214519477 + ... + 2214521355.

It is an arithmetic number, because the mean of its divisors is an integer number (42003561600).

Almost surely, 2^{4161083861664} 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 4161083861664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048512870400).

4161083861664 is an abundant number, since it is smaller than the sum of its proper divisors (7935941879136).

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

4161083861664 is a wasteful number, since it uses less digits than its factorization.

4161083861664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4161083861664 in words is "four trillion, one hundred sixty-one billion, eighty-three million, eight hundred sixty-one thousand, six hundred sixty-four".