844726428100 has 27 divisors (see below), whose sum is σ = 1833076293447. Its totient is φ = 337886894880.

The previous prime is 844726428097. The next prime is 844726428121. The reversal of 844726428100 is 1824627448.

The square root of 844726428100 is 919090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 251777147076 + 592949281024 = 501774^2 + 770032^2 .

It is a super-2 number, since 2×844726428100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9144946 + ... + 9236854.

Almost surely, 2^844726428100 is an apocalyptic number.

844726428100 is the 919090-th square number.

It is an amenable number.

844726428100 is an abundant number, since it is smaller than the sum of its proper divisors (988349865347).

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

844726428100 is an frugal number, since it uses more digits than its factorization.

844726428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183832 (or 91916 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 844726428100 in words is "eight hundred forty-four billion, seven hundred twenty-six million, four hundred twenty-eight thousand, one hundred".