1338256313856 has 1440 divisors, whose sum is σ = 5091647479776. Its totient is φ = 337217126400.

The previous prime is 1338256313833. The next prime is 1338256313959. The reversal of 1338256313856 is 6583136528331.

1338256313856 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 256 + 3 + 1 + 385 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18332278236 + ... + 18332278308.

Almost surely, 2^{1338256313856} is an apocalyptic number.

1338256313856 is a gapful number since it is divisible by the number (16) 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 1338256313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545823739888).

1338256313856 is an abundant number, since it is smaller than the sum of its proper divisors (3753391165920).

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

1338256313856 is an equidigital number, since it uses as much as digits as its factorization.

1338256313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 1338256313856 in words is "one trillion, three hundred thirty-eight billion, two hundred fifty-six million, three hundred thirteen thousand, eight hundred fifty-six".