347224444448 has 162 divisors, whose sum is σ = 832570193511. Its totient is φ = 142120454784.

The previous prime is 347224444429. The next prime is 347224444513. The reversal of 347224444448 is 844444422743.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 173612222224 + 173612222224 = 416668^2 + 416668^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=416668.

It is a junction number, because it is equal to n+sod(n) for n = 347224444396 and 347224444405.

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 26 ways as a sum of consecutive naturals, for example, 536668061 + ... + 536668707.

Almost surely, 2^347224444448 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 347224444448

347224444448 is an abundant number, since it is smaller than the sum of its proper divisors (485345749063).

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

347224444448 is an frugal number, since it uses more digits than its factorization.

347224444448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 679 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 50.

Multiplying 347224444448 by its sum of digits (50), we get a square (17361222222400 = 4166680²).

The spelling of 347224444448 in words is "three hundred forty-seven billion, two hundred twenty-four million, four hundred forty-four thousand, four hundred forty-eight".