1446316056444 has 144 divisors (see below), whose sum is σ = 3958124228352. Its totient is φ = 402647559168.

The previous prime is 1446316056431. The next prime is 1446316056499. The reversal of 1446316056444 is 4446506136441.

It is a junction number, because it is equal to n+sod(n) for n = 1446316056393 and 1446316056402.

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, 42104044 + ... + 42138380.

It is an arithmetic number, because the mean of its divisors is an integer number (27486973808).

Almost surely, 2^{1446316056444} is an apocalyptic number.

1446316056444 is a gapful number since it is divisible by the number (14) 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 1446316056444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979062114176).

1446316056444 is an abundant number, since it is smaller than the sum of its proper divisors (2511808171908).

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

1446316056444 is a wasteful number, since it uses less digits than its factorization.

1446316056444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34672 (or 34623 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 1446316056444 in words is "one trillion, four hundred forty-six billion, three hundred sixteen million, fifty-six thousand, four hundred forty-four".