1338581056 has 112 divisors (see below), whose sum is σ = 2832445440. Its totient is φ = 626895360.

The previous prime is 1338581053. The next prime is 1338581077. The reversal of 1338581056 is 6501858331.

It is not an unprimeable number, because it can be changed into a prime (1338581051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10218111 + ... + 10218241.

Almost surely, 2^1338581056 is an apocalyptic number.

1338581056 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 1338581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416222720).

1338581056 is an abundant number, since it is smaller than the sum of its proper divisors (1493864384).

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

1338581056 is a wasteful number, since it uses less digits than its factorization.

1338581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 1338581056 is about 36586.6240038624. The cubic root of 1338581056 is about 1102.0844925845.

The spelling of 1338581056 in words is "one billion, three hundred thirty-eight million, five hundred eighty-one thousand, fifty-six".