1338897168 has 240 divisors, whose sum is σ = 4707288000. Its totient is φ = 362299392.

The previous prime is 1338897127. The next prime is 1338897173. The reversal of 1338897168 is 8617988331.

1338897168 is a `hidden beast` number, since 13 + 388 + 97 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 400528 + ... + 403856.

It is an arithmetic number, because the mean of its divisors is an integer number (19613700).

Almost surely, 2^1338897168 is an apocalyptic number.

1338897168 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 1338897168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353644000).

1338897168 is an abundant number, since it is smaller than the sum of its proper divisors (3368390832).

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

1338897168 is a wasteful number, since it uses less digits than its factorization.

1338897168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3360 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1338897168 is about 36590.9437976120. The cubic root of 1338897168 is about 1102.1712398435.

The spelling of 1338897168 in words is "one billion, three hundred thirty-eight million, eight hundred ninety-seven thousand, one hundred sixty-eight".