13488813274848 has 96 divisors (see below), whose sum is σ = 36295030437120. Its totient is φ = 4383790218240.

The previous prime is 13488813274843. The next prime is 13488813274913. The reversal of 13488813274848 is 84847231888431.

13488813274848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488813274841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5037111 + ... + 7235337.

It is an arithmetic number, because the mean of its divisors is an integer number (378073233720).

Almost surely, 2^{13488813274848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13488813274848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147515218560).

13488813274848 is an abundant number, since it is smaller than the sum of its proper divisors (22806217162272).

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

13488813274848 is a wasteful number, since it uses less digits than its factorization.

13488813274848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199840 (or 2199832 counting only the distinct ones).

The product of its digits is 264241152, while the sum is 69.

The spelling of 13488813274848 in words is "thirteen trillion, four hundred eighty-eight billion, eight hundred thirteen million, two hundred seventy-four thousand, eight hundred forty-eight".