13379240448 has 400 divisors, whose sum is σ = 48340727424. Its totient is φ = 3596451840.

The previous prime is 13379240423. The next prime is 13379240453. The reversal of 13379240448 is 84404297331.

13379240448 is a `hidden beast` number, since 133 + 79 + 2 + 4 + 0 + 448 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4933813 + ... + 4936523.

Almost surely, 2^13379240448 is an apocalyptic number.

13379240448 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 13379240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170363712).

13379240448 is an abundant number, since it is smaller than the sum of its proper divisors (34961486976).

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

13379240448 is an equidigital number, since it uses as much as digits as its factorization.

13379240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13379240448 in words is "thirteen billion, three hundred seventy-nine million, two hundred forty thousand, four hundred forty-eight".