1338716160 has 312 divisors, whose sum is σ = 4830068880. Its totient is φ = 355663872.

The previous prime is 1338716143. The next prime is 1338716161. The reversal of 1338716160 is 616178331.

1338716160 is a `hidden beast` number, since 1 + 3 + 38 + 7 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1338716161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976506 + ... + 4976774.

It is an arithmetic number, because the mean of its divisors is an integer number (15480990).

Almost surely, 2^1338716160 is an apocalyptic number.

1338716160 is a gapful number since it is divisible by the number (10) 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 1338716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415034440).

1338716160 is an abundant number, since it is smaller than the sum of its proper divisors (3491352720).

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

1338716160 is an frugal number, since it uses more digits than its factorization.

1338716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1338716160 is about 36588.4703151143. The cubic root of 1338716160 is about 1102.1215694114.

The spelling of 1338716160 in words is "one billion, three hundred thirty-eight million, seven hundred sixteen thousand, one hundred sixty".