1444332854416 has 45 divisors (see below), whose sum is σ = 2826796640121. Its totient is φ = 714909934656.

The previous prime is 1444332854401. The next prime is 1444332854509. The reversal of 1444332854416 is 6144582334441.

The square root of 1444332854416 is 1201804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1442352960400 + 1979894016 = 1200980^2 + 44496^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444332854416.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 495141790 + ... + 495144706.

Almost surely, 2^{1444332854416} is an apocalyptic number.

1444332854416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1444332854416 is the 1201804-th square number.

It is an amenable number.

1444332854416 is a deficient number, since it is larger than the sum of its proper divisors (1382463785705).

1444332854416 is an frugal number, since it uses more digits than its factorization.

1444332854416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 3022 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 49.

Multiplying 1444332854416 by its sum of digits (49), we get a square (70772309866384 = 8412628²).

The spelling of 1444332854416 in words is "one trillion, four hundred forty-four billion, three hundred thirty-two million, eight hundred fifty-four thousand, four hundred sixteen".