13283682048 has 576 divisors, whose sum is σ = 49448448000. Its totient is φ = 3495260160.

The previous prime is 13283682017. The next prime is 13283682053. The reversal of 13283682048 is 84028638231.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 13283681994 and 13283682012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30820393 + ... + 30820823.

It is an arithmetic number, because the mean of its divisors is an integer number (85848000).

Almost surely, 2^13283682048 is an apocalyptic number.

13283682048 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 13283682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224000).

13283682048 is an abundant number, since it is smaller than the sum of its proper divisors (36164765952).

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

13283682048 is an equidigital number, since it uses as much as digits as its factorization.

13283682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13283682048 in words is "thirteen billion, two hundred eighty-three million, six hundred eighty-two thousand, forty-eight".