1338941216 has 96 divisors (see below), whose sum is σ = 2866035312. Its totient is φ = 613416960.

The previous prime is 1338941209. The next prime is 1338941231. The reversal of 1338941216 is 6121498331.

It can be written as a sum of positive squares in 8 ways, for example, as 761980816 + 576960400 = 27604^2 + 24020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1338941216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5209760 + ... + 5210016.

Almost surely, 2^1338941216 is an apocalyptic number.

1338941216 is a gapful number since it is divisible by the number (16) 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 1338941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433017656).

1338941216 is an abundant number, since it is smaller than the sum of its proper divisors (1527094096).

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

1338941216 is a wasteful number, since it uses less digits than its factorization.

1338941216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 1338941216 is about 36591.5456902274. The cubic root of 1338941216 is about 1102.1833263845.

The spelling of 1338941216 in words is "one billion, three hundred thirty-eight million, nine hundred forty-one thousand, two hundred sixteen".