1338881544 has 288 divisors, whose sum is σ = 4898836800. Its totient is φ = 320785920.

The previous prime is 1338881491. The next prime is 1338881561. The reversal of 1338881544 is 4451888331.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1338881544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 936222 + ... + 937650.

It is an arithmetic number, because the mean of its divisors is an integer number (17009850).

Almost surely, 2^1338881544 is an apocalyptic number.

1338881544 is a gapful number since it is divisible by the number (14) 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 1338881544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449418400).

1338881544 is an abundant number, since it is smaller than the sum of its proper divisors (3559955256).

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

1338881544 is a wasteful number, since it uses less digits than its factorization.

1338881544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1465 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1338881544 is about 36590.7303015395. The cubic root of 1338881544 is about 1102.1669526359.

The spelling of 1338881544 in words is "one billion, three hundred thirty-eight million, eight hundred eighty-one thousand, five hundred forty-four".