13314303248904 has 160 divisors (see below), whose sum is σ = 42646371398400. Its totient is φ = 3801720303360.

The previous prime is 13314303248867. The next prime is 13314303248927. The reversal of 13314303248904 is 40984230341331.

13314303248904 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 303 + 248 + 90 + 4 = 666.

It is a super-3 number, since 3×13314303248904³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13314303248904.

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 39 ways as a sum of consecutive naturals, for example, 6386289 + ... + 8210559.

It is an arithmetic number, because the mean of its divisors is an integer number (266539821240).

Almost surely, 2^{13314303248904} is an apocalyptic number.

13314303248904 is a gapful number since it is divisible by the number (14) 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 13314303248904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21323185699200).

13314303248904 is an abundant number, since it is smaller than the sum of its proper divisors (29332068149496).

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

13314303248904 is a wasteful number, since it uses less digits than its factorization.

13314303248904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825905 (or 1825892 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13314303248904 in words is "thirteen trillion, three hundred fourteen billion, three hundred three million, two hundred forty-eight thousand, nine hundred four".