13458800055744 has 168 divisors, whose sum is σ = 38777904369360. Its totient is φ = 4462963494912.

The previous prime is 13458800055739. The next prime is 13458800055751. The reversal of 13458800055744 is 44755000885431.

It is a happy number.

13458800055744 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 80 + 0 + 0 + 557 + 4 + 4 = 666.

It is a super-3 number, since 3×13458800055744³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149865447 + ... + 149955225.

Almost surely, 2^{13458800055744} 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 13458800055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388952184680).

13458800055744 is an abundant number, since it is smaller than the sum of its proper divisors (25319104313616).

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

13458800055744 is a wasteful number, since it uses less digits than its factorization.

13458800055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91147 (or 91134 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 13458800055744 in words is "thirteen trillion, four hundred fifty-eight billion, eight hundred million, fifty-five thousand, seven hundred forty-four".