4446614166444 has 384 divisors, whose sum is σ = 12233883648000. Its totient is φ = 1395357788160.

The previous prime is 4446614166443. The next prime is 4446614166461.

4446614166444 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 614 + 16 + 6 + 4 + 4 + 4 = 666.

4446614166444 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4446614166443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2870634582 + ... + 2870636130.

It is an arithmetic number, because the mean of its divisors is an integer number (31859072000).

Almost surely, 2^{4446614166444} 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 4446614166444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116941824000).

4446614166444 is an abundant number, since it is smaller than the sum of its proper divisors (7787269481556).

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

4446614166444 is a wasteful number, since it uses less digits than its factorization.

4446614166444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1862 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 4446614166444 in words is "four trillion, four hundred forty-six billion, six hundred fourteen million, one hundred sixty-six thousand, four hundred forty-four".