5438671753216 has 117 divisors (see below), whose sum is σ = 11781190485189. Its totient is φ = 2509260668928.

The previous prime is 5438671753201. The next prime is 5438671753253. The reversal of 5438671753216 is 6123571768345.

The square root of 5438671753216 is 2332096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 804537241600 + 4634134511616 = 896960^2 + 2152704^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1940302471 + ... + 1940305273.

Almost surely, 2^{5438671753216} is an apocalyptic number.

5438671753216 is the 2332096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438671753216

5438671753216 is an abundant number, since it is smaller than the sum of its proper divisors (6342518731973).

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

5438671753216 is an frugal number, since it uses more digits than its factorization.

5438671753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 2818 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 5438671753216 in words is "five trillion, four hundred thirty-eight billion, six hundred seventy-one million, seven hundred fifty-three thousand, two hundred sixteen".