13427084814468 has 48 divisors (see below), whose sum is σ = 33740084184576. Its totient is φ = 4131382544640.

The previous prime is 13427084814461. The next prime is 13427084814487. The reversal of 13427084814468 is 86441848072431.

It is a happy number.

It is a super-3 number, since 3×13427084814468³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13427084814461) 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, 44933680 + ... + 45231512.

It is an arithmetic number, because the mean of its divisors is an integer number (702918420512).

Almost surely, 2^{13427084814468} is an apocalyptic number.

It is an amenable number.

13427084814468 is an abundant number, since it is smaller than the sum of its proper divisors (20312999370108).

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

13427084814468 is a wasteful number, since it uses less digits than its factorization.

13427084814468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586844 (or 586842 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 13427084814468 in words is "thirteen trillion, four hundred twenty-seven billion, eighty-four million, eight hundred fourteen thousand, four hundred sixty-eight".