13381681224960 has 432 divisors, whose sum is σ = 49535024972160. Its totient is φ = 3325211688960.

The previous prime is 13381681224953. The next prime is 13381681224973. The reversal of 13381681224960 is 6942218618331.

It is a happy number.

13381681224960 is a `hidden beast` number, since 1 + 3 + 3 + 81 + 68 + 12 + 2 + 496 + 0 = 666.

It is a super-2 number, since 2×13381681224960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13381681224897 and 13381681224906.

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 47 ways as a sum of consecutive naturals, for example, 12850557 + ... + 13852803.

Almost surely, 2^{13381681224960} is an apocalyptic number.

13381681224960 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 13381681224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24767512486080).

13381681224960 is an abundant number, since it is smaller than the sum of its proper divisors (36153343747200).

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

13381681224960 is a wasteful number, since it uses less digits than its factorization.

13381681224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002354 (or 1002337 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13381681224960 in words is "thirteen trillion, three hundred eighty-one billion, six hundred eighty-one million, two hundred twenty-four thousand, nine hundred sixty".