16981217344 has 189 divisors, whose sum is σ = 42684350877. Its totient is φ = 6680314368.

The previous prime is 16981217311. The next prime is 16981217347. The reversal of 16981217344 is 44371218961.

The square root of 16981217344 is 130312.

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., 2512014400 + 14469202944 = 50120^2 + 120288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16981217294 and 16981217303.

It is not an unprimeable number, because it can be changed into a prime (16981217347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94867047 + ... + 94867225.

Almost surely, 2^16981217344 is an apocalyptic number.

16981217344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16981217344 is the 130312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16981217344

16981217344 is an abundant number, since it is smaller than the sum of its proper divisors (25703133533).

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

16981217344 is an equidigital number, since it uses as much as digits as its factorization.

16981217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 201 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The spelling of 16981217344 in words is "sixteen billion, nine hundred eighty-one million, two hundred seventeen thousand, three hundred forty-four".