13278814848 has 384 divisors, whose sum is σ = 45221904000. Its totient is φ = 3700629504.

The previous prime is 13278814847. The next prime is 13278814883. The reversal of 13278814848 is 84841887231.

13278814848 is a `hidden beast` number, since 13 + 2 + 78 + 81 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 13278814794 and 13278814803.

It is not an unprimeable number, because it can be changed into a prime (13278814847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6543498 + ... + 6545526.

It is an arithmetic number, because the mean of its divisors is an integer number (117765375).

Almost surely, 2^13278814848 is an apocalyptic number.

13278814848 is a gapful number since it is divisible by the number (18) 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 13278814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22610952000).

13278814848 is an abundant number, since it is smaller than the sum of its proper divisors (31943089152).

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

13278814848 is a wasteful number, since it uses less digits than its factorization.

13278814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2089 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The spelling of 13278814848 in words is "thirteen billion, two hundred seventy-eight million, eight hundred fourteen thousand, eight hundred forty-eight".