13288964413452 has 384 divisors, whose sum is σ = 39952822640640. Its totient is φ = 3343570513920.

The previous prime is 13288964413451. The next prime is 13288964413457. The reversal of 13288964413452 is 25431446988231.

It is not an unprimeable number, because it can be changed into a prime (13288964413451) 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 127 ways as a sum of consecutive naturals, for example, 899902173 + ... + 899916939.

It is an arithmetic number, because the mean of its divisors is an integer number (104043808960).

Almost surely, 2^{13288964413452} is an apocalyptic number.

13288964413452 is a gapful number since it is divisible by the number (12) 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 13288964413452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976411320320).

13288964413452 is an abundant number, since it is smaller than the sum of its proper divisors (26663858227188).

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

13288964413452 is a wasteful number, since it uses less digits than its factorization.

13288964413452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161 (or 15159 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 60.

The spelling of 13288964413452 in words is "thirteen trillion, two hundred eighty-eight billion, nine hundred sixty-four million, four hundred thirteen thousand, four hundred fifty-two".