13248852480 has 400 divisors, whose sum is σ = 47850546744. Its totient is φ = 3503554560.

The previous prime is 13248852451. The next prime is 13248852481. The reversal of 13248852480 is 8425884231.

13248852480 is a `hidden beast` number, since 1 + 3 + 2 + 48 + 8 + 524 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5758988544 + 7489863936 = 75888^2 + 86544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13248852481) by changing a digit.

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, 37531984 + ... + 37532336.

Almost surely, 2^13248852480 is an apocalyptic number.

13248852480 is a gapful number since it is divisible by the number (10) 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 13248852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925273372).

13248852480 is an abundant number, since it is smaller than the sum of its proper divisors (34601694264).

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

13248852480 is an equidigital number, since it uses as much as digits as its factorization.

13248852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 13248852480 in words is "thirteen billion, two hundred forty-eight million, eight hundred fifty-two thousand, four hundred eighty".