13047338304 has 896 divisors, whose sum is σ = 54347059200. Its totient is φ = 2956124160.

The previous prime is 13047338303. The next prime is 13047338309. The reversal of 13047338304 is 40383374031.

13047338304 is a `hidden beast` number, since 13 + 0 + 4 + 7 + 338 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047338303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32864634 + ... + 32865030.

It is an arithmetic number, because the mean of its divisors is an integer number (60655200).

Almost surely, 2^13047338304 is an apocalyptic number.

13047338304 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 13047338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27173529600).

13047338304 is an abundant number, since it is smaller than the sum of its proper divisors (41299720896).

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

13047338304 is a wasteful number, since it uses less digits than its factorization.

13047338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13047338304 in words is "thirteen billion, forty-seven million, three hundred thirty-eight thousand, three hundred four".