13378963104 has 480 divisors, whose sum is σ = 45099863424. Its totient is φ = 3859384320.

The previous prime is 13378963097. The next prime is 13378963109. The reversal of 13378963104 is 40136987331.

13378963104 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 9 + 631 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13378963104.

It is not an unprimeable number, because it can be changed into a prime (13378963109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47275347 + ... + 47275629.

Almost surely, 2^13378963104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13378963104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549931712).

13378963104 is an abundant number, since it is smaller than the sum of its proper divisors (31720900320).

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

13378963104 is a wasteful number, since it uses less digits than its factorization.

13378963104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13378963104 in words is "thirteen billion, three hundred seventy-eight million, nine hundred sixty-three thousand, one hundred four".