44871948900 has 243 divisors, whose sum is σ = 147510149241. Its totient is φ = 11408316480.

The previous prime is 44871948881. The next prime is 44871948929. The reversal of 44871948900 is 984917844.

The square root of 44871948900 is 211830.

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

44871948900 is a `hidden beast` number, since 448 + 7 + 194 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16153901604 + 28718047296 = 127098^2 + 169464^2 .

It is a super-2 number, since 2×44871948900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 146162547 + ... + 146162853.

Almost surely, 2^44871948900 is an apocalyptic number.

44871948900 is the 211830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44871948900

44871948900 is an abundant number, since it is smaller than the sum of its proper divisors (102638200341).

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

44871948900 is a wasteful number, since it uses less digits than its factorization.

44871948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 44871948900 in words is "forty-four billion, eight hundred seventy-one million, nine hundred forty-eight thousand, nine hundred".