13353840014688 has 288 divisors, whose sum is σ = 40809099240000. Its totient is φ = 4126992629760.

The previous prime is 13353840014659. The next prime is 13353840014719. The reversal of 13353840014688 is 88641004835331.

13353840014688 is a `hidden beast` number, since 1 + 3 + 3 + 538 + 40 + 0 + 1 + 4 + 68 + 8 = 666.

13353840014688 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434157006 + ... + 434187762.

It is an arithmetic number, because the mean of its divisors is an integer number (141698261250).

Almost surely, 2^{13353840014688} is an apocalyptic number.

13353840014688 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 13353840014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404549620000).

13353840014688 is an abundant number, since it is smaller than the sum of its proper divisors (27455259225312).

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

13353840014688 is a wasteful number, since it uses less digits than its factorization.

13353840014688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32110 (or 32099 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 13353840014688 in words is "thirteen trillion, three hundred fifty-three billion, eight hundred forty million, fourteen thousand, six hundred eighty-eight".