1338713671680 has 2688 divisors, whose sum is σ = 6403953104640. Its totient is φ = 259900047360.

The previous prime is 1338713671679. The next prime is 1338713671751. The reversal of 1338713671680 is 861763178331.

1338713671680 is a `hidden beast` number, since 1 + 3 + 387 + 136 + 71 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9771632572 + ... + 9771632708.

It is an arithmetic number, because the mean of its divisors is an integer number (2382423030).

Almost surely, 2^{1338713671680} is an apocalyptic number.

1338713671680 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 1338713671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201976552320).

1338713671680 is an abundant number, since it is smaller than the sum of its proper divisors (5065239432960).

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

1338713671680 is a wasteful number, since it uses less digits than its factorization.

1338713671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1338713671680 in words is "one trillion, three hundred thirty-eight billion, seven hundred thirteen million, six hundred seventy-one thousand, six hundred eighty".