1338863016960 has 2112 divisors, whose sum is σ = 5885927424000. Its totient is φ = 280401149952.

The previous prime is 1338863016899. The next prime is 1338863017013. The reversal of 1338863016960 is 696103688331.

1338863016960 is a `hidden beast` number, since 13 + 388 + 6 + 30 + 169 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1338863016897 and 1338863016906.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 10542228417 + ... + 10542228543.

Almost surely, 2^{1338863016960} is an apocalyptic number.

1338863016960 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 1338863016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942963712000).

1338863016960 is an abundant number, since it is smaller than the sum of its proper divisors (4547064407040).

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

1338863016960 is a wasteful number, since it uses less digits than its factorization.

1338863016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1338863016960 in words is "one trillion, three hundred thirty-eight billion, eight hundred sixty-three million, sixteen thousand, nine hundred sixty".