13473225968704 has 112 divisors (see below), whose sum is σ = 27262419490800. Its totient is φ = 6604696166400.

The previous prime is 13473225968701. The next prime is 13473225968723. The reversal of 13473225968704 is 40786952237431.

It can be written as a sum of positive squares in 8 ways, for example, as 4682238167104 + 8790987801600 = 2163848^2 + 2964960^2 .

It is a super-3 number, since 3×13473225968704³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (13473225968701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4235529994 + ... + 4235533174.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13473225968704 = 26946451937408, but 3⋅13473225968704 = 40419677906112 is not.

Almost surely, 2^{13473225968704} 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 13473225968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631209745400).

13473225968704 is an abundant number, since it is smaller than the sum of its proper divisors (13789193522096).

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

13473225968704 is a wasteful number, since it uses less digits than its factorization.

13473225968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 13473225968704 in words is "thirteen trillion, four hundred seventy-three billion, two hundred twenty-five million, nine hundred sixty-eight thousand, seven hundred four".