13645192484880 has 1600 divisors, whose sum is σ = 55591620480000. Its totient is φ = 3066978816000.

The previous prime is 13645192484863. The next prime is 13645192484947. The reversal of 13645192484880 is 8848429154631.

It is a happy number.

13645192484880 is a `hidden beast` number, since 1 + 3 + 6 + 451 + 9 + 24 + 84 + 8 + 80 = 666.

It is a super-2 number, since 2×13645192484880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27345074871 + ... + 27345075369.

It is an arithmetic number, because the mean of its divisors is an integer number (34744762800).

Almost surely, 2^{13645192484880} is an apocalyptic number.

13645192484880 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 13645192484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27795810240000).

13645192484880 is an abundant number, since it is smaller than the sum of its proper divisors (41946427995120).

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

13645192484880 is a wasteful number, since it uses less digits than its factorization.

13645192484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 13645192484880 in words is "thirteen trillion, six hundred forty-five billion, one hundred ninety-two million, four hundred eighty-four thousand, eight hundred eighty".