4446111456 has 144 divisors (see below), whose sum is σ = 13418522208. Its totient is φ = 1391616000.

The previous prime is 4446111451. The next prime is 4446111479. The reversal of 4446111456 is 6541116444.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4446111456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446111451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941741 + ... + 2943251.

It is an arithmetic number, because the mean of its divisors is an integer number (93184182).

Almost surely, 2^4446111456 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 4446111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709261104).

4446111456 is an abundant number, since it is smaller than the sum of its proper divisors (8972410752).

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

4446111456 is a wasteful number, since it uses less digits than its factorization.

4446111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4446111456 is about 66679.1680811931. The cubic root of 4446111456 is about 1644.3469173933.

The spelling of 4446111456 in words is "four billion, four hundred forty-six million, one hundred eleven thousand, four hundred fifty-six".