13061569248 has 384 divisors, whose sum is σ = 47213107200. Its totient is φ = 3441305088.

The previous prime is 13061569237. The next prime is 13061569249. The reversal of 13061569248 is 84296516031.

13061569248 is a `hidden beast` number, since 1 + 3 + 0 + 61 + 569 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13061569249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13286965 + ... + 13287947.

It is an arithmetic number, because the mean of its divisors is an integer number (122950800).

Almost surely, 2^13061569248 is an apocalyptic number.

13061569248 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 13061569248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606553600).

13061569248 is an abundant number, since it is smaller than the sum of its proper divisors (34151537952).

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

13061569248 is an equidigital number, since it uses as much as digits as its factorization.

13061569248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13061569248 in words is "thirteen billion, sixty-one million, five hundred sixty-nine thousand, two hundred forty-eight".