13381460775936 has 1760 divisors, whose sum is σ = 47361115017216. Its totient is φ = 3722526720000.

The previous prime is 13381460775923. The next prime is 13381460775937. The reversal of 13381460775936 is 63957706418331.

13381460775936 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 14 + 607 + 7 + 5 + 9 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381460775937) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 88618945461 + ... + 88618945611.

Almost surely, 2^{13381460775936} is an apocalyptic number.

13381460775936 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 13381460775936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680557508608).

13381460775936 is an abundant number, since it is smaller than the sum of its proper divisors (33979654241280).

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

13381460775936 is a wasteful number, since it uses less digits than its factorization.

13381460775936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 13381460775936 in words is "thirteen trillion, three hundred eighty-one billion, four hundred sixty million, seven hundred seventy-five thousand, nine hundred thirty-six".