4446116444 has 144 divisors (see below), whose sum is σ = 10055157504. Its totient is φ = 1683348480.

The previous prime is 4446116429. The next prime is 4446116459.

4446116444 = T₈₄ + T₈₅ + ... + T₂₉₈₇.

4446116444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4446116429) and next prime (4446116459).

It is a junction number, because it is equal to n+sod(n) for n = 4446116398 and 4446116407.

It is a congruent number.

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, 27276707 + ... + 27276869.

Almost surely, 2^4446116444 is an apocalyptic number.

4446116444 is a gapful number since it is divisible by the number (44) 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 4446116444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027578752).

4446116444 is an abundant number, since it is smaller than the sum of its proper divisors (5609041060).

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

4446116444 is a wasteful number, since it uses less digits than its factorization.

4446116444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 4446116444 is about 66679.2054841688. The cubic root of 4446116444 is about 1644.3475323126.

The spelling of 4446116444 in words is "four billion, four hundred forty-six million, one hundred sixteen thousand, four hundred forty-four".