13904304103680 has 144 divisors (see below), whose sum is σ = 44455627609344. Its totient is φ = 3703743447040.

The previous prime is 13904304103643. The next prime is 13904304103799. The reversal of 13904304103680 is 8630140340931.

It is a super-2 number, since 2×13904304103680² (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 15 ways as a sum of consecutive naturals, for example, 1510912 + ... + 5485568.

It is an arithmetic number, because the mean of its divisors is an integer number (308719636176).

Almost surely, 2^{13904304103680} is an apocalyptic number.

13904304103680 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 13904304103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227813804672).

13904304103680 is an abundant number, since it is smaller than the sum of its proper divisors (30551323505664).

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

13904304103680 is an equidigital number, since it uses as much as digits as its factorization.

13904304103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975592 (or 3975578 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13904304103680 in words is "thirteen trillion, nine hundred four billion, three hundred four million, one hundred three thousand, six hundred eighty".