1338364919808 has 912 divisors, whose sum is σ = 4905816373440. Its totient is φ = 358311002112.

The previous prime is 1338364919777. The next prime is 1338364919839. The reversal of 1338364919808 is 8089194638331.

1338364919808 is a `hidden beast` number, since 1 + 3 + 38 + 36 + 491 + 9 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1338364919777) and next prime (1338364919839).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5895880591 + ... + 5895880817.

It is an arithmetic number, because the mean of its divisors is an integer number (5379184620).

Almost surely, 2^{1338364919808} is an apocalyptic number.

1338364919808 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 1338364919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452908186720).

1338364919808 is an abundant number, since it is smaller than the sum of its proper divisors (3567451453632).

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

1338364919808 is an frugal number, since it uses more digits than its factorization.

1338364919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1338364919808 in words is "one trillion, three hundred thirty-eight billion, three hundred sixty-four million, nine hundred nineteen thousand, eight hundred eight".