13048903816704 has 800 divisors, whose sum is σ = 47532672000000. Its totient is φ = 3483508654080.

The previous prime is 13048903816661. The next prime is 13048903816933. The reversal of 13048903816704 is 40761830984031.

13048903816704 is a `hidden beast` number, since 13 + 0 + 489 + 0 + 3 + 81 + 6 + 70 + 4 = 666.

13048903816704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260958297 + ... + 261008295.

It is an arithmetic number, because the mean of its divisors is an integer number (59415840000).

Almost surely, 2^{13048903816704} is an apocalyptic number.

13048903816704 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 13048903816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766336000000).

13048903816704 is an abundant number, since it is smaller than the sum of its proper divisors (34483768183296).

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

13048903816704 is an equidigital number, since it uses as much as digits as its factorization.

13048903816704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50096 (or 50071 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13048903816704 in words is "thirteen trillion, forty-eight billion, nine hundred three million, eight hundred sixteen thousand, seven hundred four".