1338631668 has 72 divisors (see below), whose sum is σ = 3698123520. Its totient is φ = 404904960.

The previous prime is 1338631649. The next prime is 1338631669. The reversal of 1338631668 is 8661368331.

1338631668 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 631 + 6 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338631669) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 237588 + ... + 243156.

Almost surely, 2^1338631668 is an apocalyptic number.

1338631668 is a gapful number since it is divisible by the number (18) 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 1338631668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849061760).

1338631668 is an abundant number, since it is smaller than the sum of its proper divisors (2359491852).

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

1338631668 is a wasteful number, since it uses less digits than its factorization.

1338631668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6192 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1338631668 is about 36587.3156708715. The cubic root of 1338631668 is about 1102.0983824164.

Adding to 1338631668 its reverse (8661368331), we get a palindrome (9999999999).

It can be divided in two parts, 133863 and 1668, that added together give a palindrome (135531).

The spelling of 1338631668 in words is "one billion, three hundred thirty-eight million, six hundred thirty-one thousand, six hundred sixty-eight".