44736480100 has 81 divisors (see below), whose sum is σ = 105184789227. Its totient is φ = 16507932480.

The previous prime is 44736480097. The next prime is 44736480157. The reversal of 44736480100 is 108463744.

The square root of 44736480100 is 211510.

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 11530893924 + 33205586176 = 107382^2 + 182224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44736480100.

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, 27495487 + ... + 27497113.

Almost surely, 2^44736480100 is an apocalyptic number.

44736480100 is the 211510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44736480100

44736480100 is an abundant number, since it is smaller than the sum of its proper divisors (60448309127).

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

44736480100 is a wasteful number, since it uses less digits than its factorization.

44736480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 44736480100 in words is "forty-four billion, seven hundred thirty-six million, four hundred eighty thousand, one hundred".