16438316944 has 135 divisors (see below), whose sum is σ = 39264618321. Its totient is φ = 6646510080.

The previous prime is 16438316933. The next prime is 16438316953. The reversal of 16438316944 is 44961383461.

The square root of 16438316944 is 128212.

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., 12362771344 + 4075545600 = 111188^2 + 63840^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68208664 + ... + 68208904.

Almost surely, 2^16438316944 is an apocalyptic number.

16438316944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16438316944 is the 128212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16438316944

16438316944 is an abundant number, since it is smaller than the sum of its proper divisors (22826301377).

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

16438316944 is an equidigital number, since it uses as much as digits as its factorization.

16438316944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

Multiplying 16438316944 by its sum of digits (49), we get a square (805477530256 = 897484²).

16438316944 divided by its sum of digits (49) gives a square (335475856 = 18316²).

The spelling of 16438316944 in words is "sixteen billion, four hundred thirty-eight million, three hundred sixteen thousand, nine hundred forty-four".